79969680 has 400 divisors, whose sum is σ = 332728704. Its totient is φ = 17418240.

The previous prime is 79969627. The next prime is 79969693. The reversal of 79969680 is 8696997.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1859739 + ... + 1859781.

Almost surely, 2^79969680 is an apocalyptic number.

79969680 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 79969680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166364352).

79969680 is an abundant number, since it is smaller than the sum of its proper divisors (252759024).

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

79969680 is a wasteful number, since it uses less digits than its factorization.

79969680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 79969680 is about 8942.5768098463. The cubic root of 79969680 is about 430.8324957448.

The spelling of 79969680 in words is "seventy-nine million, nine hundred sixty-nine thousand, six hundred eighty".