791905632 has 96 divisors (see below), whose sum is σ = 2426360832. Its totient is φ = 221435904.

The previous prime is 791905619. The next prime is 791905643. The reversal of 791905632 is 236509197.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×791905632² = 1254229059986638848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19048 + ... + 44120.

It is an arithmetic number, because the mean of its divisors is an integer number (25274592).

Almost surely, 2^791905632 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 791905632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213180416).

791905632 is an abundant number, since it is smaller than the sum of its proper divisors (1634455200).

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

791905632 is a wasteful number, since it uses less digits than its factorization.

791905632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25140 (or 25132 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 791905632 is about 28140.8178985615. The cubic root of 791905632 is about 925.1762535333.

The spelling of 791905632 in words is "seven hundred ninety-one million, nine hundred five thousand, six hundred thirty-two".