76366080 has 216 divisors, whose sum is σ = 302283072. Its totient is φ = 17436672.

The previous prime is 76366079. The next prime is 76366093. The reversal of 76366080 is 8066367.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80167 + ... + 81113.

Almost surely, 2^76366080 is an apocalyptic number.

76366080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76366080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151141536).

76366080 is an abundant number, since it is smaller than the sum of its proper divisors (225916992).

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

76366080 is a wasteful number, since it uses less digits than its factorization.

76366080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 964 counting only the distinct ones).

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

The square root of 76366080 is about 8738.7687919981. The cubic root of 76366080 is about 424.2613791242.

The spelling of 76366080 in words is "seventy-six million, three hundred sixty-six thousand, eighty".