791461440 has 672 divisors, whose sum is σ = 3514807296. Its totient is φ = 158699520.

The previous prime is 791461427. The next prime is 791461453. The reversal of 791461440 is 44164197.

791461440 is a `hidden beast` number, since 79 + 146 + 1 + 440 = 666.

791461440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (791461427) and next prime (791461453).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×791461440² = 1252822422013747200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 791461395 and 791461404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9535639 + ... + 9535721.

It is an arithmetic number, because the mean of its divisors is an integer number (5230368).

Almost surely, 2^791461440 is an apocalyptic number.

791461440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 791461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757403648).

791461440 is an abundant number, since it is smaller than the sum of its proper divisors (2723345856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

791461440 is a wasteful number, since it uses less digits than its factorization.

791461440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 791461440 is about 28132.9244836011. The cubic root of 791461440 is about 925.0032393361.

The spelling of 791461440 in words is "seven hundred ninety-one million, four hundred sixty-one thousand, four hundred forty".