79916760 has 384 divisors, whose sum is σ = 343180800. Its totient is φ = 16070400.

The previous prime is 79916741. The next prime is 79916761. The reversal of 79916760 is 6761997.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79916761) 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, 2577945 + ... + 2577975.

It is an arithmetic number, because the mean of its divisors is an integer number (893700).

Almost surely, 2^79916760 is an apocalyptic number.

79916760 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 79916760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171590400).

79916760 is an abundant number, since it is smaller than the sum of its proper divisors (263264040).

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

79916760 is a wasteful number, since it uses less digits than its factorization.

79916760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 79916760 is about 8939.6174414792. The cubic root of 79916760 is about 430.7374401906.

The spelling of 79916760 in words is "seventy-nine million, nine hundred sixteen thousand, seven hundred sixty".