76577952 has 96 divisors (see below), whose sum is σ = 221405184. Its totient is φ = 22982400.

The previous prime is 76577947. The next prime is 76577959. The reversal of 76577952 is 25977567.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (76577959) 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, 133827 + ... + 134397.

It is an arithmetic number, because the mean of its divisors is an integer number (2306304).

Almost surely, 2^76577952 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 76577952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110702592).

76577952 is an abundant number, since it is smaller than the sum of its proper divisors (144827232).

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

76577952 is a wasteful number, since it uses less digits than its factorization.

76577952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 714 counting only the distinct ones).

The product of its digits is 926100, while the sum is 48.

The square root of 76577952 is about 8750.8829268823. The cubic root of 76577952 is about 424.6533773544.

The spelling of 76577952 in words is "seventy-six million, five hundred seventy-seven thousand, nine hundred fifty-two".