791285760 has 364 divisors, whose sum is σ = 2900695212. Its totient is φ = 207028224.

The previous prime is 791285731. The next prime is 791285771. The reversal of 791285760 is 67582197.

791285760 is a `hidden beast` number, since 79 + 1 + 2 + 8 + 576 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 429981696 + 361304064 = 20736^2 + 19008^2 .

It is a super-2 number, since 2×791285760² = 1252266307957555200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14929894 + ... + 14929946.

Almost surely, 2^791285760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 791285760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450347606).

791285760 is an abundant number, since it is smaller than the sum of its proper divisors (2109409452).

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

791285760 is an frugal number, since it uses more digits than its factorization.

791285760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 791285760 is about 28129.8019900603. The cubic root of 791285760 is about 924.9347935530.

The spelling of 791285760 in words is "seven hundred ninety-one million, two hundred eighty-five thousand, seven hundred sixty".