76816080 has 320 divisors, whose sum is σ = 298909440. Its totient is φ = 17971200.

The previous prime is 76816079. The next prime is 76816087. The reversal of 76816080 is 8061867.

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 (76816087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1259250 + ... + 1259310.

It is an arithmetic number, because the mean of its divisors is an integer number (934092).

Almost surely, 2^76816080 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 76816080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149454720).

76816080 is an abundant number, since it is smaller than the sum of its proper divisors (222093360).

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

76816080 is a wasteful number, since it uses less digits than its factorization.

76816080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 76816080 is about 8764.4783073495. The cubic root of 76816080 is about 425.0930914879.

The spelling of 76816080 in words is "seventy-six million, eight hundred sixteen thousand, eighty".