77486832 has 90 divisors (see below), whose sum is σ = 223558608. Its totient is φ = 25043136.

The previous prime is 77486821. The next prime is 77486837. The reversal of 77486832 is 23868477.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77486837) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 724123 + ... + 724229.

Almost surely, 2^77486832 is an apocalyptic number.

77486832 is a gapful number since it is divisible by the number (72) 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 77486832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111779304).

77486832 is an abundant number, since it is smaller than the sum of its proper divisors (146071776).

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

77486832 is a wasteful number, since it uses less digits than its factorization.

77486832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 159 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 77486832 is about 8802.6605069149. The cubic root of 77486832 is about 426.3268007456.

The spelling of 77486832 in words is "seventy-seven million, four hundred eighty-six thousand, eight hundred thirty-two".