776401920 has 528 divisors, whose sum is σ = 3218866560. Its totient is φ = 169279488.

The previous prime is 776401903. The next prime is 776401933. The reversal of 776401920 is 29104677.

It is a happy number.

776401920 is a `hidden beast` number, since 7 + 7 + 640 + 1 + 9 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9354199 + ... + 9354281.

Almost surely, 2^776401920 is an apocalyptic number.

776401920 is a gapful number since it is divisible by the number (70) 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 776401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609433280).

776401920 is an abundant number, since it is smaller than the sum of its proper divisors (2442464640).

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

776401920 is a wasteful number, since it uses less digits than its factorization.

776401920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 776401920 is about 27863.9896640808. The cubic root of 776401920 is about 919.0988024490.

The spelling of 776401920 in words is "seven hundred seventy-six million, four hundred one thousand, nine hundred twenty".