76644360 has 256 divisors, whose sum is σ = 283046400. Its totient is φ = 18330624.

The previous prime is 76644343. The next prime is 76644367. The reversal of 76644360 is 6344667.

76644360 is a `hidden beast` number, since 7 + 6 + 644 + 3 + 6 + 0 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (76644367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 744069 + ... + 744171.

It is an arithmetic number, because the mean of its divisors is an integer number (1105650).

Almost surely, 2^76644360 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 76644360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

76644360 is an abundant number, since it is smaller than the sum of its proper divisors (206402040).

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

76644360 is a wasteful number, since it uses less digits than its factorization.

76644360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 76644360 is about 8754.6764646102. The cubic root of 76644360 is about 424.7760942850.

The spelling of 76644360 in words is "seventy-six million, six hundred forty-four thousand, three hundred sixty".