76341564 has 72 divisors (see below), whose sum is σ = 209343680. Its totient is φ = 23317632.

The previous prime is 76341553. The next prime is 76341581. The reversal of 76341564 is 46514367.

It is a happy number.

76341564 is a `hidden beast` number, since 7 + 634 + 15 + 6 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72957 + ... + 73995.

Almost surely, 2^76341564 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 76341564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104671840).

76341564 is an abundant number, since it is smaller than the sum of its proper divisors (133002116).

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

76341564 is a wasteful number, since it uses less digits than its factorization.

76341564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1214 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 76341564 is about 8737.3659646372. The cubic root of 76341564 is about 424.2159736894.

The spelling of 76341564 in words is "seventy-six million, three hundred forty-one thousand, five hundred sixty-four".