76778760 has 64 divisors (see below), whose sum is σ = 231151680. Its totient is φ = 20401920.

The previous prime is 76778743. The next prime is 76778789. The reversal of 76778760 is 6787767.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38754 + ... + 40686.

It is an arithmetic number, because the mean of its divisors is an integer number (3611745).

Almost surely, 2^76778760 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 76778760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115575840).

76778760 is an abundant number, since it is smaller than the sum of its proper divisors (154372920).

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

76778760 is a wasteful number, since it uses less digits than its factorization.

76778760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 691488, while the sum is 48.

The square root of 76778760 is about 8762.3490001255. The cubic root of 76778760 is about 425.0242385253.

The spelling of 76778760 in words is "seventy-six million, seven hundred seventy-eight thousand, seven hundred sixty".