79479680 has 128 divisors (see below), whose sum is σ = 220466880. Its totient is φ = 26836992.

The previous prime is 79479677. The next prime is 79479703. The reversal of 79479680 is 8697497.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 506162 + ... + 506318.

Almost surely, 2^79479680 is an apocalyptic number.

79479680 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 79479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110233440).

79479680 is an abundant number, since it is smaller than the sum of its proper divisors (140987200).

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

79479680 is a wasteful number, since it uses less digits than its factorization.

79479680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 50.

The square root of 79479680 is about 8915.1376882245. The cubic root of 79479680 is about 429.9507425098.

The spelling of 79479680 in words is "seventy-nine million, four hundred seventy-nine thousand, six hundred eighty".