76577864 has 64 divisors (see below), whose sum is σ = 166622400. Its totient is φ = 32659200.

The previous prime is 76577861. The next prime is 76577869. The reversal of 76577864 is 46877567.

It is not an unprimeable number, because it can be changed into a prime (76577861) 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, 94019 + ... + 94829.

It is an arithmetic number, because the mean of its divisors is an integer number (2603475).

Almost surely, 2^76577864 is an apocalyptic number.

76577864 is a gapful number since it is divisible by the number (74) 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 76577864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83311200).

76577864 is an abundant number, since it is smaller than the sum of its proper divisors (90044536).

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

76577864 is a wasteful number, since it uses less digits than its factorization.

76577864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 890 counting only the distinct ones).

The product of its digits is 1975680, while the sum is 50.

The square root of 76577864 is about 8750.8778988168. The cubic root of 76577864 is about 424.6532146900.

The spelling of 76577864 in words is "seventy-six million, five hundred seventy-seven thousand, eight hundred sixty-four".