76644090 has 64 divisors (see below), whose sum is σ = 211000320. Its totient is φ = 19776960.

The previous prime is 76644089. The next prime is 76644091. The reversal of 76644090 is 9044667.

76644090 is a `hidden beast` number, since 7 + 6 + 644 + 0 + 9 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (76644089) and next prime (76644091).

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

It is not an unprimeable number, because it can be changed into a prime (76644091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3792 + ... + 12948.

It is an arithmetic number, because the mean of its divisors is an integer number (3296880).

Almost surely, 2^76644090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76644090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105500160).

76644090 is an abundant number, since it is smaller than the sum of its proper divisors (134356230).

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

76644090 is a wasteful number, since it uses less digits than its factorization.

76644090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9204 (or 9198 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 76644090 is about 8754.6610442666. The cubic root of 76644090 is about 424.7755954891.

The spelling of 76644090 in words is "seventy-six million, six hundred forty-four thousand, ninety".