77801568 has 96 divisors (see below), whose sum is σ = 227146752. Its totient is φ = 23155200.

The previous prime is 77801557. The next prime is 77801569. The reversal of 77801568 is 86510877.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77801569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37683 + ... + 39693.

It is an arithmetic number, because the mean of its divisors is an integer number (2366112).

Almost surely, 2^77801568 is an apocalyptic number.

77801568 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77801568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113573376).

77801568 is an abundant number, since it is smaller than the sum of its proper divisors (149345184).

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

77801568 is a wasteful number, since it uses less digits than its factorization.

77801568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 42.

The square root of 77801568 is about 8820.5197125793. The cubic root of 77801568 is about 426.9032390300.

The spelling of 77801568 in words is "seventy-seven million, eight hundred one thousand, five hundred sixty-eight".