79401600 has 192 divisors, whose sum is σ = 290904000. Its totient is φ = 21150720.

The previous prime is 79401587. The next prime is 79401601. The reversal of 79401600 is 610497.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×79401600² = 12609228165120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (79401601) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 85941 + ... + 86859.

It is an arithmetic number, because the mean of its divisors is an integer number (1515125).

Almost surely, 2^79401600 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 79401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145452000).

79401600 is an abundant number, since it is smaller than the sum of its proper divisors (211502400).

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

79401600 is a wasteful number, since it uses less digits than its factorization.

79401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 79401600 is about 8910.7575435537. The cubic root of 79401600 is about 429.8099033540.

The spelling of 79401600 in words is "seventy-nine million, four hundred one thousand, six hundred".