1007080056 has 96 divisors (see below), whose sum is σ = 2762987760. Its totient is φ = 331362816.

The previous prime is 1007080033. The next prime is 1007080057. The reversal of 1007080056 is 6500807001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007080057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2902075 + ... + 2902421.

Almost surely, 2^1007080056 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 1007080056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381493880).

1007080056 is an abundant number, since it is smaller than the sum of its proper divisors (1755907704).

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

1007080056 is a wasteful number, since it uses less digits than its factorization.

1007080056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1007080056 is about 31734.5246695141. The cubic root of 1007080056 is about 1002.3544707833.

Adding to 1007080056 its reverse (6500807001), we get a palindrome (7507887057).

The spelling of 1007080056 in words is "one billion, seven million, eighty thousand, fifty-six".