776390400 has 216 divisors, whose sum is σ = 2847578160. Its totient is φ = 206991360.

The previous prime is 776390399. The next prime is 776390401. The reversal of 776390400 is 4093677.

It is an interprime number because it is at equal distance from previous prime (776390399) and next prime (776390401).

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (776390401) 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, 170554 + ... + 175046.

Almost surely, 2^776390400 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 776390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423789080).

776390400 is an abundant number, since it is smaller than the sum of its proper divisors (2071187760).

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

776390400 is a wasteful number, since it uses less digits than its factorization.

776390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4528 (or 4503 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 776390400 is about 27863.7829448910. The cubic root of 776390400 is about 919.0942566632.

The spelling of 776390400 in words is "seven hundred seventy-six million, three hundred ninety thousand, four hundred".