79764480 has 176 divisors, whose sum is σ = 283959840. Its totient is φ = 21233664.

The previous prime is 79764479. The next prime is 79764497. The reversal of 79764480 is 8446797.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137952 + ... + 138528.

Almost surely, 2^79764480 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 79764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141979920).

79764480 is an abundant number, since it is smaller than the sum of its proper divisors (204195360).

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

79764480 is a wasteful number, since it uses less digits than its factorization.

79764480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 79764480 is about 8931.0962373048. The cubic root of 79764480 is about 430.4636786606.

The spelling of 79764480 in words is "seventy-nine million, seven hundred sixty-four thousand, four hundred eighty".