79997632 has 56 divisors (see below), whose sum is σ = 186519312. Its totient is φ = 33561600.

The previous prime is 79997579. The next prime is 79997633. The reversal of 79997632 is 23679997.

It is a super-2 number, since 2×79997632² = 12799242251214848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 79997632.

It is not an unprimeable number, because it can be changed into a prime (79997633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4782 + ... + 13522.

It is an arithmetic number, because the mean of its divisors is an integer number (3330702).

Almost surely, 2^79997632 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 79997632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93259656).

79997632 is an abundant number, since it is smaller than the sum of its proper divisors (106521680).

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

79997632 is a wasteful number, since it uses less digits than its factorization.

79997632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8777 (or 8767 counting only the distinct ones).

The product of its digits is 1285956, while the sum is 52.

The square root of 79997632 is about 8944.1395337953. The cubic root of 79997632 is about 430.8826865466.

It can be divided in two parts, 799976 and 32, that added together give a palindrome (800008).

The spelling of 79997632 in words is "seventy-nine million, nine hundred ninety-seven thousand, six hundred thirty-two".