79972464 has 160 divisors (see below), whose sum is σ = 247984128. Its totient is φ = 21888000.

The previous prime is 79972447. The next prime is 79972493. The reversal of 79972464 is 46427997.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418609 + ... + 418799.

Almost surely, 2^79972464 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 79972464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123992064).

79972464 is an abundant number, since it is smaller than the sum of its proper divisors (168011664).

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

79972464 is a wasteful number, since it uses less digits than its factorization.

79972464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 281 counting only the distinct ones).

The product of its digits is 762048, while the sum is 48.

The square root of 79972464 is about 8942.7324683231. The cubic root of 79972464 is about 430.8374952385.

The spelling of 79972464 in words is "seventy-nine million, nine hundred seventy-two thousand, four hundred sixty-four".