77361696 has 192 divisors, whose sum is σ = 250387200. Its totient is φ = 23113728.

The previous prime is 77361667. The next prime is 77361733. The reversal of 77361696 is 69616377.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 337710 + ... + 337938.

It is an arithmetic number, because the mean of its divisors is an integer number (1304100).

Almost surely, 2^77361696 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 77361696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125193600).

77361696 is an abundant number, since it is smaller than the sum of its proper divisors (173025504).

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

77361696 is a wasteful number, since it uses less digits than its factorization.

77361696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 274 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 77361696 is about 8795.5497838396. The cubic root of 77361696 is about 426.0971807650.

The spelling of 77361696 in words is "seventy-seven million, three hundred sixty-one thousand, six hundred ninety-six".