79128000 has 336 divisors, whose sum is σ = 325550784. Its totient is φ = 17971200.

The previous prime is 79127959. The next prime is 79128011. The reversal of 79128000 is 82197.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×79128000² = 12522480768000000, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 503922 + ... + 504078.

Almost surely, 2^79128000 is an apocalyptic number.

79128000 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 79128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162775392).

79128000 is an abundant number, since it is smaller than the sum of its proper divisors (246422784).

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

79128000 is a wasteful number, since it uses less digits than its factorization.

79128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 79128000 is about 8895.3920655584. The cubic root of 79128000 is about 429.3156592478.

The spelling of 79128000 in words is "seventy-nine million, one hundred twenty-eight thousand".