1055763280 has 240 divisors, whose sum is σ = 3006236160. Its totient is φ = 341452800.

The previous prime is 1055763277. The next prime is 1055763283. The reversal of 1055763280 is 823675501.

It is an interprime number because it is at equal distance from previous prime (1055763277) and next prime (1055763283).

It is a super-2 number, since 2×1055763280² = 2229272206792716800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055763283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4610206 + ... + 4610434.

It is an arithmetic number, because the mean of its divisors is an integer number (12525984).

Almost surely, 2^1055763280 is an apocalyptic number.

1055763280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055763280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503118080).

1055763280 is an abundant number, since it is smaller than the sum of its proper divisors (1950472880).

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

1055763280 is a wasteful number, since it uses less digits than its factorization.

1055763280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 1055763280 is about 32492.5111371836. The cubic root of 1055763280 is about 1018.2525764640.

It can be divided in two parts, 10557 and 63280, that added together give a palindrome (73837).

The spelling of 1055763280 in words is "one billion, fifty-five million, seven hundred sixty-three thousand, two hundred eighty".