76250880 has 108 divisors (see below), whose sum is σ = 263859960. Its totient is φ = 20330496.

The previous prime is 76250861. The next prime is 76250893. The reversal of 76250880 is 8805267.

76250880 is a `hidden beast` number, since 76 + 2 + 508 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8211 + ... + 14829.

Almost surely, 2^76250880 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 76250880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131929980).

76250880 is an abundant number, since it is smaller than the sum of its proper divisors (187609080).

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

76250880 is a wasteful number, since it uses less digits than its factorization.

76250880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6646 (or 6629 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 76250880 is about 8732.1749867945. The cubic root of 76250880 is about 424.0479357219.

The spelling of 76250880 in words is "seventy-six million, two hundred fifty thousand, eight hundred eighty".