77274016 has 48 divisors (see below), whose sum is σ = 156764160. Its totient is φ = 37477120.

The previous prime is 77273953. The next prime is 77274031. The reversal of 77274016 is 61047277.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 287130 + ... + 287398.

It is an arithmetic number, because the mean of its divisors is an integer number (3265920).

Almost surely, 2^77274016 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 77274016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78382080).

77274016 is an abundant number, since it is smaller than the sum of its proper divisors (79490144).

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

77274016 is a wasteful number, since it uses less digits than its factorization.

77274016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 34.

The square root of 77274016 is about 8790.5640319606. The cubic root of 77274016 is about 425.9361436022.

The spelling of 77274016 in words is "seventy-seven million, two hundred seventy-four thousand, sixteen".