79768080 has 480 divisors, whose sum is σ = 348192000. Its totient is φ = 16257024.

The previous prime is 79768057. The next prime is 79768081. The reversal of 79768080 is 8086797.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (79768081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4198311 + ... + 4198329.

It is an arithmetic number, because the mean of its divisors is an integer number (725400).

Almost surely, 2^79768080 is an apocalyptic number.

79768080 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 79768080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174096000).

79768080 is an abundant number, since it is smaller than the sum of its proper divisors (268423920).

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

79768080 is a wasteful number, since it uses less digits than its factorization.

79768080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 79768080 is about 8931.2977780388. The cubic root of 79768080 is about 430.4701545837.

The spelling of 79768080 in words is "seventy-nine million, seven hundred sixty-eight thousand, eighty".