776872800 has 432 divisors, whose sum is σ = 3169765872. Its totient is φ = 176947200.

The previous prime is 776872777. The next prime is 776872801. The reversal of 776872800 is 8278677.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (776872801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1346112 + ... + 1346688.

It is an arithmetic number, because the mean of its divisors is an integer number (7337421).

Almost surely, 2^776872800 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 776872800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584882936).

776872800 is an abundant number, since it is smaller than the sum of its proper divisors (2392893072).

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

776872800 is a wasteful number, since it uses less digits than its factorization.

776872800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 776872800 is about 27872.4379988547. The cubic root of 776872800 is about 919.2845729755.

The spelling of 776872800 in words is "seven hundred seventy-six million, eight hundred seventy-two thousand, eight hundred".