1057877760 has 72 divisors (see below), whose sum is σ = 3378609360. Its totient is φ = 282099712.

The previous prime is 1057877753. The next prime is 1057877771. The reversal of 1057877760 is 677787501.

It is a super-2 number, since 2×1057877760² = 2238210710205235200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133905 + ... + 141584.

It is an arithmetic number, because the mean of its divisors is an integer number (46925130).

Almost surely, 2^1057877760 is an apocalyptic number.

1057877760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057877760 is an abundant number, since it is smaller than the sum of its proper divisors (2320731600).

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

1057877760 is an equidigital number, since it uses as much as digits as its factorization.

1057877760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275513 (or 275499 counting only the distinct ones).

The product of its (nonzero) digits is 576240, while the sum is 48.

The square root of 1057877760 is about 32525.0328208904. The cubic root of 1057877760 is about 1018.9319076976.

The spelling of 1057877760 in words is "one billion, fifty-seven million, eight hundred seventy-seven thousand, seven hundred sixty".