77265760 has 144 divisors (see below), whose sum is σ = 216781488. Its totient is φ = 25850880.

The previous prime is 77265743. The next prime is 77265781. The reversal of 77265760 is 6756277.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251527 + ... + 251833.

It is an arithmetic number, because the mean of its divisors is an integer number (1505427).

Almost surely, 2^77265760 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 77265760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108390744).

77265760 is an abundant number, since it is smaller than the sum of its proper divisors (139515728).

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

77265760 is a wasteful number, since it uses less digits than its factorization.

77265760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 40.

The square root of 77265760 is about 8790.0944249763. The cubic root of 77265760 is about 425.9209739750.

The spelling of 77265760 in words is "seventy-seven million, two hundred sixty-five thousand, seven hundred sixty".