76360064 has 64 divisors (see below), whose sum is σ = 167406480. Its totient is φ = 34406400.

The previous prime is 76360061. The next prime is 76360079. The reversal of 76360064 is 46006367.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 76360064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76360061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 271604 + ... + 271884.

Almost surely, 2^76360064 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 76360064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83703240).

76360064 is an abundant number, since it is smaller than the sum of its proper divisors (91046416).

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

76360064 is a wasteful number, since it uses less digits than its factorization.

76360064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The square root of 76360064 is about 8738.4245719695. The cubic root of 76360064 is about 424.2502379497.

The spelling of 76360064 in words is "seventy-six million, three hundred sixty thousand, sixty-four".