77632464 has 120 divisors (see below), whose sum is σ = 251338080. Its totient is φ = 20466432.

The previous prime is 77632447. The next prime is 77632493. The reversal of 77632464 is 46423677.

It is a super-2 number, since 2×77632464² = 12053598933422592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29307 + ... + 31845.

It is an arithmetic number, because the mean of its divisors is an integer number (2094484).

Almost surely, 2^77632464 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 77632464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125669040).

77632464 is an abundant number, since it is smaller than the sum of its proper divisors (173705616).

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

77632464 is a wasteful number, since it uses less digits than its factorization.

77632464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2577 (or 2564 counting only the distinct ones).

The product of its digits is 169344, while the sum is 39.

The square root of 77632464 is about 8810.9286684208. The cubic root of 77632464 is about 426.5937190826.

The spelling of 77632464 in words is "seventy-seven million, six hundred thirty-two thousand, four hundred sixty-four".