76641660 has 96 divisors (see below), whose sum is σ = 241920000. Its totient is φ = 20139840.

The previous prime is 76641623. The next prime is 76641667. The reversal of 76641660 is 6614667.

76641660 is a `hidden beast` number, since 7 + 6 + 641 + 6 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76641667) 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, 37341 + ... + 39339.

It is an arithmetic number, because the mean of its divisors is an integer number (2520000).

Almost surely, 2^76641660 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 76641660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960000).

76641660 is an abundant number, since it is smaller than the sum of its proper divisors (165278340).

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

76641660 is a wasteful number, since it uses less digits than its factorization.

76641660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 2080 counting only the distinct ones).

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

The square root of 76641660 is about 8754.5222599523. The cubic root of 76641660 is about 424.7711062731.

The spelling of 76641660 in words is "seventy-six million, six hundred forty-one thousand, six hundred sixty".