77515152 has 160 divisors (see below), whose sum is σ = 245984256. Its totient is φ = 20697600.

The previous prime is 77515147. The next prime is 77515219. The reversal of 77515152 is 25151577.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 157627 + ... + 158117.

Almost surely, 2^77515152 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 77515152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122992128).

77515152 is an abundant number, since it is smaller than the sum of its proper divisors (168469104).

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

77515152 is a wasteful number, since it uses less digits than its factorization.

77515152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 543 counting only the distinct ones).

The product of its digits is 12250, while the sum is 33.

The square root of 77515152 is about 8804.2689645421. The cubic root of 77515152 is about 426.3787325990.

The spelling of 77515152 in words is "seventy-seven million, five hundred fifteen thousand, one hundred fifty-two".