77624136 has 64 divisors (see below), whose sum is σ = 218400000. Its totient is φ = 25541568.

The previous prime is 77624089. The next prime is 77624137. The reversal of 77624136 is 63142677.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 77624136.

It is not an unprimeable number, because it can be changed into a prime (77624137) 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, 14790 + ... + 19338.

It is an arithmetic number, because the mean of its divisors is an integer number (3412500).

Almost surely, 2^77624136 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 77624136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109200000).

77624136 is an abundant number, since it is smaller than the sum of its proper divisors (140775864).

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

77624136 is a wasteful number, since it uses less digits than its factorization.

77624136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4643 (or 4633 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 77624136 is about 8810.4560608404. The cubic root of 77624136 is about 426.5784642981.

The spelling of 77624136 in words is "seventy-seven million, six hundred twenty-four thousand, one hundred thirty-six".