76875040 has 96 divisors (see below), whose sum is σ = 204664320. Its totient is φ = 27033600.

The previous prime is 76875031. The next prime is 76875047. The reversal of 76875040 is 4057867.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (76875047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53856 + ... + 55264.

It is an arithmetic number, because the mean of its divisors is an integer number (2131920).

Almost surely, 2^76875040 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 76875040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102332160).

76875040 is an abundant number, since it is smaller than the sum of its proper divisors (127789280).

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

76875040 is a wasteful number, since it uses less digits than its factorization.

76875040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 76875040 is about 8767.8412394386. The cubic root of 76875040 is about 425.2018234050.

The spelling of 76875040 in words is "seventy-six million, eight hundred seventy-five thousand, forty".