76754880 has 168 divisors, whose sum is σ = 273405600. Its totient is φ = 19740672.

The previous prime is 76754861. The next prime is 76754891. The reversal of 76754880 is 8845767.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83061 + ... + 83979.

Almost surely, 2^76754880 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 76754880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136702800).

76754880 is an abundant number, since it is smaller than the sum of its proper divisors (196650720).

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

76754880 is a wasteful number, since it uses less digits than its factorization.

76754880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 76754880 is about 8760.9862458515. The cubic root of 76754880 is about 424.9801697783.

The spelling of 76754880 in words is "seventy-six million, seven hundred fifty-four thousand, eight hundred eighty".