76077312 has 72 divisors (see below), whose sum is σ = 214423776. Its totient is φ = 23863296.

The previous prime is 76077299. The next prime is 76077343. The reversal of 76077312 is 21377067.

It is a super-2 number, since 2×76077312² = 11575514802290688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10143 + ... + 15969.

It is an arithmetic number, because the mean of its divisors is an integer number (2978108).

Almost surely, 2^76077312 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 76077312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107211888).

76077312 is an abundant number, since it is smaller than the sum of its proper divisors (138346464).

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

76077312 is a wasteful number, since it uses less digits than its factorization.

76077312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5863 (or 5849 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 33.

The square root of 76077312 is about 8722.2309072851. The cubic root of 76077312 is about 423.7259413251.

The spelling of 76077312 in words is "seventy-six million, seventy-seven thousand, three hundred twelve".