77856768 has 152 divisors (see below), whose sum is σ = 251657760. Its totient is φ = 23592960.

The previous prime is 77856767. The next prime is 77856781. The reversal of 77856768 is 86765877.

77856768 is a `hidden beast` number, since 7 + 78 + 567 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3951360) is a multiple of the sum of its prime divisors (16).

It is not an unprimeable number, because it can be changed into a prime (77856767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7077883 + ... + 7077893.

Almost surely, 2^77856768 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 77856768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125828880).

77856768 is an abundant number, since it is smaller than the sum of its proper divisors (173800992).

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

77856768 is an frugal number, since it uses more digits than its factorization.

77856768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 16 counting only the distinct ones).

The product of its digits is 3951360, while the sum is 54.

The square root of 77856768 is about 8823.6482250824. The cubic root of 77856768 is about 427.0041773893.

The spelling of 77856768 in words is "seventy-seven million, eight hundred fifty-six thousand, seven hundred sixty-eight".