77650944 has 176 divisors, whose sum is σ = 248391168. Its totient is φ = 21086208.

The previous prime is 77650943. The next prime is 77650949. The reversal of 77650944 is 44905677.

It is a super-2 number, since 2×77650944² = 12059338208182272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 77650896 and 77650905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77650943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 494514 + ... + 494670.

Almost surely, 2^77650944 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 77650944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124195584).

77650944 is an abundant number, since it is smaller than the sum of its proper divisors (170740224).

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

77650944 is a wasteful number, since it uses less digits than its factorization.

77650944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 77650944 is about 8811.9773036476. The cubic root of 77650944 is about 426.6275658613.

The spelling of 77650944 in words is "seventy-seven million, six hundred fifty thousand, nine hundred forty-four".