76778688 has 84 divisors (see below), whose sum is σ = 236338872. Its totient is φ = 21934080.

The previous prime is 76778633. The next prime is 76778711. The reversal of 76778688 is 88687767.

It is a tau number, because it is divible by the number of its divisors (84).

It is a nude number because it is divisible by every one of its digits.

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, 5328 + ... + 13488.

It is an arithmetic number, because the mean of its divisors is an integer number (2813558).

Almost surely, 2^76778688 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 76778688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118169436).

76778688 is an abundant number, since it is smaller than the sum of its proper divisors (159560184).

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

76778688 is a wasteful number, since it uses less digits than its factorization.

76778688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8190 (or 8173 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 57.

The square root of 76778688 is about 8762.3448916372. The cubic root of 76778688 is about 425.0241056685.

The spelling of 76778688 in words is "seventy-six million, seven hundred seventy-eight thousand, six hundred eighty-eight".