79617888 has 144 divisors (see below), whose sum is σ = 262787616. Its totient is φ = 22394880.

The previous prime is 79617883. The next prime is 79617899. The reversal of 79617888 is 88871697.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79617883) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146898 + ... + 147438.

It is an arithmetic number, because the mean of its divisors is an integer number (1824914).

Almost surely, 2^79617888 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 79617888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131393808).

79617888 is an abundant number, since it is smaller than the sum of its proper divisors (183169728).

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

79617888 is a wasteful number, since it uses less digits than its factorization.

79617888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 626 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 54.

The square root of 79617888 is about 8922.8856319018. The cubic root of 79617888 is about 430.1998133915.

The spelling of 79617888 in words is "seventy-nine million, six hundred seventeen thousand, eight hundred eighty-eight".