776800 has 36 divisors (see below), whose sum is σ = 1898316. Its totient is φ = 310400.

The previous prime is 776759. The next prime is 776801. The reversal of 776800 is 8677.

776800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (776801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 315 + ... + 1285.

It is an arithmetic number, because the mean of its divisors is an integer number (52731).

2⁷⁷⁶⁸⁰⁰ 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 776800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949158).

776800 is an abundant number, since it is smaller than the sum of its proper divisors (1121516).

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

776800 is a wasteful number, since it uses less digits than its factorization.

776800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 776800 is about 881.3625814612. The cubic root of 776800 is about 91.9255856989.

The spelling of 776800 in words is "seven hundred seventy-six thousand, eight hundred".