77973280 has 96 divisors (see below), whose sum is σ = 229703040. Its totient is φ = 24299520.

The previous prime is 77973263. The next prime is 77973293. The reversal of 77973280 is 8237977.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9156 + ... + 15484.

It is an arithmetic number, because the mean of its divisors is an integer number (2392740).

Almost surely, 2^77973280 is an apocalyptic number.

77973280 is a gapful number since it is divisible by the number (70) 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 77973280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114851520).

77973280 is an abundant number, since it is smaller than the sum of its proper divisors (151729760).

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

77973280 is a wasteful number, since it uses less digits than its factorization.

77973280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6362 (or 6354 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 43.

The square root of 77973280 is about 8830.2480146370. The cubic root of 77973280 is about 427.2170739481.

The spelling of 77973280 in words is "seventy-seven million, nine hundred seventy-three thousand, two hundred eighty".