77243760 has 160 divisors (see below), whose sum is σ = 290338560. Its totient is φ = 18720000.

The previous prime is 77243731. The next prime is 77243807. The reversal of 77243760 is 6734277.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22135 + ... + 25385.

It is an arithmetic number, because the mean of its divisors is an integer number (1814616).

Almost surely, 2^77243760 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 77243760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145169280).

77243760 is an abundant number, since it is smaller than the sum of its proper divisors (213094800).

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

77243760 is a wasteful number, since it uses less digits than its factorization.

77243760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3284 (or 3272 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 77243760 is about 8788.8429272573. The cubic root of 77243760 is about 425.8805457572.

The spelling of 77243760 in words is "seventy-seven million, two hundred forty-three thousand, seven hundred sixty".