77164650 has 168 divisors, whose sum is σ = 225660780. Its totient is φ = 19595520.

The previous prime is 77164631. The next prime is 77164693. The reversal of 77164650 is 5646177.

77164650 is a `hidden beast` number, since 7 + 7 + 1 + 646 + 5 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 31236921 + 45927729 = 5589^2 + 6777^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1057014 + ... + 1057086.

Almost surely, 2^77164650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77164650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112830390).

77164650 is an abundant number, since it is smaller than the sum of its proper divisors (148496130).

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

77164650 is a wasteful number, since it uses less digits than its factorization.

77164650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 77164650 is about 8784.3411818986. The cubic root of 77164650 is about 425.7351060983.

The spelling of 77164650 in words is "seventy-seven million, one hundred sixty-four thousand, six hundred fifty".