79129200 has 240 divisors, whose sum is σ = 274553856. Its totient is φ = 19430400.

The previous prime is 79129189. The next prime is 79129229. The reversal of 79129200 is 292197.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×79129200² = 12522860585280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1297170 + ... + 1297230.

Almost surely, 2^79129200 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 79129200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137276928).

79129200 is an abundant number, since it is smaller than the sum of its proper divisors (195424656).

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

79129200 is a wasteful number, since it uses less digits than its factorization.

79129200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 79129200 is about 8895.4595159553. The cubic root of 79129200 is about 429.3178294707.

The spelling of 79129200 in words is "seventy-nine million, one hundred twenty-nine thousand, two hundred".