77039680 has 56 divisors (see below), whose sum is σ = 193121280. Its totient is φ = 29191680.

The previous prime is 77039657. The next prime is 77039701. The reversal of 77039680 is 8693077.

It is a super-2 number, since 2×77039680² = 11870224589004800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 256 + ... + 12415.

Almost surely, 2^77039680 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 77039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96560640).

77039680 is an abundant number, since it is smaller than the sum of its proper divisors (116081600).

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

77039680 is a wasteful number, since it uses less digits than its factorization.

77039680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12707 (or 12697 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 77039680 is about 8777.2250740197. The cubic root of 77039680 is about 425.5051525127.

The spelling of 77039680 in words is "seventy-seven million, thirty-nine thousand, six hundred eighty".