77677733232 has 240 divisors, whose sum is σ = 241297056000. Its totient is φ = 23130455040.

The previous prime is 77677733143. The next prime is 77677733303. The reversal of 77677733232 is 23233777677.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26161444 + ... + 26164412.

It is an arithmetic number, because the mean of its divisors is an integer number (1005404400).

Almost surely, 2^77677733232 is an apocalyptic number.

77677733232 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 77677733232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120648528000).

77677733232 is an abundant number, since it is smaller than the sum of its proper divisors (163619322768).

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

77677733232 is a wasteful number, since it uses less digits than its factorization.

77677733232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3276 (or 3267 counting only the distinct ones).

The product of its digits is 10890936, while the sum is 54.

The spelling of 77677733232 in words is "seventy-seven billion, six hundred seventy-seven million, seven hundred thirty-three thousand, two hundred thirty-two".