77372880 has 80 divisors (see below), whose sum is σ = 258316800. Its totient is φ = 19044864.

The previous prime is 77372839. The next prime is 77372881. The reversal of 77372880 is 8827377.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77372881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9280 + ... + 15519.

It is an arithmetic number, because the mean of its divisors is an integer number (3228960).

Almost surely, 2^77372880 is an apocalyptic number.

It is an amenable number.

77372880 is an abundant number, since it is smaller than the sum of its proper divisors (180943920).

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

77372880 is a wasteful number, since it uses less digits than its factorization.

77372880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24828 (or 24822 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 42.

The square root of 77372880 is about 8796.1855369245. The cubic root of 77372880 is about 426.1177130675.

The spelling of 77372880 in words is "seventy-seven million, three hundred seventy-two thousand, eight hundred eighty".