79496760 has 256 divisors, whose sum is σ = 304819200. Its totient is φ = 16146432.

The previous prime is 79496759. The next prime is 79496761. The reversal of 79496760 is 6769497.

It is an interprime number because it is at equal distance from previous prime (79496759) and next prime (79496761).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79496761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 271174 + ... + 271466.

It is an arithmetic number, because the mean of its divisors is an integer number (1190700).

Almost surely, 2^79496760 is an apocalyptic number.

79496760 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 79496760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152409600).

79496760 is an abundant number, since it is smaller than the sum of its proper divisors (225322440).

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

79496760 is a wasteful number, since it uses less digits than its factorization.

79496760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The square root of 79496760 is about 8916.0955580344. The cubic root of 79496760 is about 429.9815387784.

The spelling of 79496760 in words is "seventy-nine million, four hundred ninety-six thousand, seven hundred sixty".