1007780256 has 108 divisors (see below), whose sum is σ = 3333819762. Its totient is φ = 287933184.

The previous prime is 1007780237. The next prime is 1007780303. The reversal of 1007780256 is 6520877001.

It can be written as a sum of positive squares in only one way, i.e., 859427856 + 148352400 = 29316^2 + 12180^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1007780256.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21595 + ... + 49818.

Almost surely, 2^1007780256 is an apocalyptic number.

1007780256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1007780256 is an abundant number, since it is smaller than the sum of its proper divisors (2326039506).

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

1007780256 is a wasteful number, since it uses less digits than its factorization.

1007780256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71443 (or 71425 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 1007780256 is about 31745.5549014346. The cubic root of 1007780256 is about 1002.5867217678.

The spelling of 1007780256 in words is "one billion, seven million, seven hundred eighty thousand, two hundred fifty-six".