79129680 has 320 divisors, whose sum is σ = 307599360. Its totient is φ = 16422912.

The previous prime is 79129667. The next prime is 79129711. The reversal of 79129680 is 8692197.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1181007 + ... + 1181073.

It is an arithmetic number, because the mean of its divisors is an integer number (961248).

Almost surely, 2^79129680 is an apocalyptic number.

79129680 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 79129680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153799680).

79129680 is an abundant number, since it is smaller than the sum of its proper divisors (228469680).

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

79129680 is a wasteful number, since it uses less digits than its factorization.

79129680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 79129680 is about 8895.4864959709. The cubic root of 79129680 is about 429.3186975537.

The spelling of 79129680 in words is "seventy-nine million, one hundred twenty-nine thousand, six hundred eighty".