77503680 has 168 divisors, whose sum is σ = 282439872. Its totient is φ = 19439616.

The previous prime is 77503669. The next prime is 77503681. The reversal of 77503680 is 8630577.

77503680 is a `hidden beast` number, since 77 + 503 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (77503681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48169 + ... + 49751.

Almost surely, 2^77503680 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 77503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141219936).

77503680 is an abundant number, since it is smaller than the sum of its proper divisors (204936192).

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

77503680 is a wasteful number, since it uses less digits than its factorization.

77503680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 77503680 is about 8803.6174383034. The cubic root of 77503680 is about 426.3576973218.

The spelling of 77503680 in words is "seventy-seven million, five hundred three thousand, six hundred eighty".