79500960 has 384 divisors, whose sum is σ = 348364800. Its totient is φ = 16450560.

The previous prime is 79500947. The next prime is 79500961. The reversal of 79500960 is 6900597.

79500960 = T₃₂₁ + T₃₂₂ + ... + T₇₉₈.

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

It is not an unprimeable number, because it can be changed into a prime (79500961) 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, 332521 + ... + 332759.

It is an arithmetic number, because the mean of its divisors is an integer number (907200).

Almost surely, 2^79500960 is an apocalyptic number.

79500960 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 79500960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174182400).

79500960 is an abundant number, since it is smaller than the sum of its proper divisors (268863840).

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

79500960 is a wasteful number, since it uses less digits than its factorization.

79500960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 79500960 is about 8916.3310840278. The cubic root of 79500960 is about 429.9891109556.

The spelling of 79500960 in words is "seventy-nine million, five hundred thousand, nine hundred sixty".