77693616 has 360 divisors, whose sum is σ = 300154400. Its totient is φ = 18627840.

The previous prime is 77693593. The next prime is 77693653. The reversal of 77693616 is 61639677.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (285768) is a multiple of the sum of its prime divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5976426 + ... + 5976438.

Almost surely, 2^77693616 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 77693616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150077200).

77693616 is an abundant number, since it is smaller than the sum of its proper divisors (222460784).

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

77693616 is a wasteful number, since it uses less digits than its factorization.

77693616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 36 counting only the distinct ones).

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

The square root of 77693616 is about 8814.3982210926. The cubic root of 77693616 is about 426.7057006389.

The spelling of 77693616 in words is "seventy-seven million, six hundred ninety-three thousand, six hundred sixteen".