77428760 has 32 divisors (see below), whose sum is σ = 177506640. Its totient is φ = 30386304.

The previous prime is 77428759. The next prime is 77428763. The reversal of 77428760 is 6782477.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77428763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16142 + ... + 20381.

Almost surely, 2^77428760 is an apocalyptic number.

It is an amenable number.

77428760 is an abundant number, since it is smaller than the sum of its proper divisors (100077880).

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

77428760 is a wasteful number, since it uses less digits than its factorization.

77428760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36587 (or 36583 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 41.

The square root of 77428760 is about 8799.3613404610. The cubic root of 77428760 is about 426.2202715168.

The spelling of 77428760 in words is "seventy-seven million, four hundred twenty-eight thousand, seven hundred sixty".