76700880 has 120 divisors (see below), whose sum is σ = 259170912. Its totient is φ = 20328192.

The previous prime is 76700867. The next prime is 76700927. The reversal of 76700880 is 8800767.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 220867 + ... + 221213.

Almost surely, 2^76700880 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 76700880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129585456).

76700880 is an abundant number, since it is smaller than the sum of its proper divisors (182470032).

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

76700880 is a wasteful number, since it uses less digits than its factorization.

76700880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 76700880 is about 8757.9038588009. The cubic root of 76700880 is about 424.8804831174.

The spelling of 76700880 in words is "seventy-six million, seven hundred thousand, eight hundred eighty".