79727040 has 336 divisors, whose sum is σ = 304312320. Its totient is φ = 19077120.

The previous prime is 79726987. The next prime is 79727051. The reversal of 79727040 is 4072797.

It is a Cunningham number, because it is equal to 8929²-1.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 79726986 and 79727004.

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, 1696297 + ... + 1696343.

Almost surely, 2^79727040 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 79727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152156160).

79727040 is an abundant number, since it is smaller than the sum of its proper divisors (224585280).

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

79727040 is a wasteful number, since it uses less digits than its factorization.

79727040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 79727040 is about 8928.9999440027. Note that the first 4 decimals coincide. The cubic root of 79727040 is about 430.3963175060.

The spelling of 79727040 in words is "seventy-nine million, seven hundred twenty-seven thousand, forty".