76189376 has 56 divisors (see below), whose sum is σ = 161300160. Its totient is φ = 35581952.

The previous prime is 76189367. The next prime is 76189423. The reversal of 76189376 is 67398167.

It is a self number, because there is not a number n which added to its sum of digits gives 76189376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259886 + ... + 260178.

It is an arithmetic number, because the mean of its divisors is an integer number (2880360).

Almost surely, 2^76189376 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 76189376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80650080).

76189376 is an abundant number, since it is smaller than the sum of its proper divisors (85110784).

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

76189376 is a wasteful number, since it uses less digits than its factorization.

76189376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 551 counting only the distinct ones).

The product of its digits is 381024, while the sum is 47.

The square root of 76189376 is about 8728.6525878855. The cubic root of 76189376 is about 423.9338926246.

The spelling of 76189376 in words is "seventy-six million, one hundred eighty-nine thousand, three hundred seventy-six".