76509960 has 128 divisors (see below), whose sum is σ = 252288000. Its totient is φ = 18475776.

The previous prime is 76509949. The next prime is 76509971. The reversal of 76509960 is 6990567.

It is an interprime number because it is at equal distance from previous prime (76509949) and next prime (76509971).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51711 + ... + 53169.

It is an arithmetic number, because the mean of its divisors is an integer number (1971000).

Almost surely, 2^76509960 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 76509960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126144000).

76509960 is an abundant number, since it is smaller than the sum of its proper divisors (175778040).

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

76509960 is a wasteful number, since it uses less digits than its factorization.

76509960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 76509960 is about 8746.9971990392. The cubic root of 76509960 is about 424.5276597853.

The spelling of 76509960 in words is "seventy-six million, five hundred nine thousand, nine hundred sixty".