75757864 has 64 divisors (see below), whose sum is σ = 184060800. Its totient is φ = 28387584.

The previous prime is 75757861. The next prime is 75757897. The reversal of 75757864 is 46875757.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (75757861) 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, 11094 + ... + 16570.

It is an arithmetic number, because the mean of its divisors is an integer number (2875950).

Almost surely, 2^75757864 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 75757864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92030400).

75757864 is an abundant number, since it is smaller than the sum of its proper divisors (108302936).

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

75757864 is a wasteful number, since it uses less digits than its factorization.

75757864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5522 (or 5518 counting only the distinct ones).

The product of its digits is 1646400, while the sum is 49.

The square root of 75757864 is about 8703.8993560358. The cubic root of 75757864 is about 423.1320353786.

The spelling of 75757864 in words is "seventy-five million, seven hundred fifty-seven thousand, eight hundred sixty-four".