79633680 has 160 divisors (see below), whose sum is σ = 285410304. Its totient is φ = 17991168.

The previous prime is 79633669. The next prime is 79633709. The reversal of 79633680 is 8633697.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179539 + ... + 179981.

Almost surely, 2^79633680 is an apocalyptic number.

79633680 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 79633680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142705152).

79633680 is an abundant number, since it is smaller than the sum of its proper divisors (205776624).

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

79633680 is a wasteful number, since it uses less digits than its factorization.

79633680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 79633680 is about 8923.7705035484. The cubic root of 79633680 is about 430.2282545141.

The spelling of 79633680 in words is "seventy-nine million, six hundred thirty-three thousand, six hundred eighty".