76718880 has 384 divisors, whose sum is σ = 319334400. Its totient is φ = 16837632.

The previous prime is 76718867. The next prime is 76718881. The reversal of 76718880 is 8881767.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76718881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1300291 + ... + 1300349.

It is an arithmetic number, because the mean of its divisors is an integer number (831600).

Almost surely, 2^76718880 is an apocalyptic number.

76718880 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 76718880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159667200).

76718880 is an abundant number, since it is smaller than the sum of its proper divisors (242615520).

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

76718880 is a wasteful number, since it uses less digits than its factorization.

76718880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The square root of 76718880 is about 8758.9314416771. The cubic root of 76718880 is about 424.9137172016.

The spelling of 76718880 in words is "seventy-six million, seven hundred eighteen thousand, eight hundred eighty".