76760820 has 72 divisors (see below), whose sum is σ = 233906400. Its totient is φ = 20376000.

The previous prime is 76760819. The next prime is 76760839. The reversal of 76760820 is 2806767.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44331 + ... + 46029.

It is an arithmetic number, because the mean of its divisors is an integer number (3248700).

Almost surely, 2^76760820 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 76760820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116953200).

76760820 is an abundant number, since it is smaller than the sum of its proper divisors (157145580).

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

76760820 is a wasteful number, since it uses less digits than its factorization.

76760820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 76760820 is about 8761.3252422222. The cubic root of 76760820 is about 424.9911324563.

The spelling of 76760820 in words is "seventy-six million, seven hundred sixty thousand, eight hundred twenty".