791481600 has 648 divisors, whose sum is σ = 3505803392. Its totient is φ = 165888000.

The previous prime is 791481547. The next prime is 791481611. The reversal of 791481600 is 6184197.

791481600 is a `hidden beast` number, since 7 + 9 + 1 + 48 + 1 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5241525 + ... + 5241675.

Almost surely, 2^791481600 is an apocalyptic number.

791481600 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 791481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752901696).

791481600 is an abundant number, since it is smaller than the sum of its proper divisors (2714321792).

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

791481600 is a wasteful number, since it uses less digits than its factorization.

791481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 791481600 is about 28133.2827803653. The cubic root of 791481600 is about 925.0110931224.

The spelling of 791481600 in words is "seven hundred ninety-one million, four hundred eighty-one thousand, six hundred".