776440080 has 300 divisors, whose sum is σ = 2924204580. Its totient is φ = 190854144.

The previous prime is 776440069. The next prime is 776440097. The reversal of 776440080 is 80044677.

It is a happy number.

776440080 is a `hidden beast` number, since 7 + 7 + 644 + 0 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 297355536 + 479084544 = 17244^2 + 21888^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1094766 + ... + 1095474.

Almost surely, 2^776440080 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 776440080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462102290).

776440080 is an abundant number, since it is smaller than the sum of its proper divisors (2147764500).

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

776440080 is a wasteful number, since it uses less digits than its factorization.

776440080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 776440080 is about 27864.6744104431. The cubic root of 776440080 is about 919.1138600435.

The spelling of 776440080 in words is "seven hundred seventy-six million, four hundred forty thousand, eighty".