776137920 has 224 divisors, whose sum is σ = 2554467840. Its totient is φ = 199557120.

The previous prime is 776137889. The next prime is 776137951. The reversal of 776137920 is 29731677.

It is an interprime number because it is at equal distance from previous prime (776137889) and next prime (776137951).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4021344 + ... + 4021536.

Almost surely, 2^776137920 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 776137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277233920).

776137920 is an abundant number, since it is smaller than the sum of its proper divisors (1778329920).

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

776137920 is a wasteful number, since it uses less digits than its factorization.

776137920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 42.

The square root of 776137920 is about 27859.2519641142. The cubic root of 776137920 is about 918.9946168957.

The spelling of 776137920 in words is "seven hundred seventy-six million, one hundred thirty-seven thousand, nine hundred twenty".