776424960 has 320 divisors, whose sum is σ = 2828390400. Its totient is φ = 201793536.

The previous prime is 776424953. The next prime is 776424989. The reversal of 776424960 is 69424677.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×776424960² = 1205671437022003200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3248521 + ... + 3248759.

It is an arithmetic number, because the mean of its divisors is an integer number (8838720).

Almost surely, 2^776424960 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 776424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414195200).

776424960 is an abundant number, since it is smaller than the sum of its proper divisors (2051965440).

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

776424960 is a wasteful number, since it uses less digits than its factorization.

776424960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 776424960 is about 27864.4030978595. The cubic root of 776424960 is about 919.1078938858.

The spelling of 776424960 in words is "seven hundred seventy-six million, four hundred twenty-four thousand, nine hundred sixty".