77056800 has 144 divisors (see below), whose sum is σ = 254171232. Its totient is φ = 20275200.

The previous prime is 77056769. The next prime is 77056807. The reversal of 77056800 is 865077.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (77056807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232635 + ... + 232965.

It is an arithmetic number, because the mean of its divisors is an integer number (1765078).

Almost surely, 2^77056800 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 77056800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127085616).

77056800 is an abundant number, since it is smaller than the sum of its proper divisors (177114432).

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

77056800 is a wasteful number, since it uses less digits than its factorization.

77056800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 77056800 is about 8778.2002711262. The cubic root of 77056800 is about 425.5366692093.

The spelling of 77056800 in words is "seventy-seven million, fifty-six thousand, eight hundred".