1056768300 has 324 divisors, whose sum is σ = 3982620096. Its totient is φ = 233452800.

The previous prime is 1056768253. The next prime is 1056768313. The reversal of 1056768300 is 38676501.

1056768300 is a `hidden beast` number, since 1 + 0 + 567 + 68 + 30 + 0 = 666.

It is a super-2 number, since 2×1056768300² = 2233518479769780000, which contains 22 as substring.

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 107 ways as a sum of consecutive naturals, for example, 1366714 + ... + 1367486.

Almost surely, 2^1056768300 is an apocalyptic number.

1056768300 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 1056768300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991310048).

1056768300 is an abundant number, since it is smaller than the sum of its proper divisors (2925851796).

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

1056768300 is a wasteful number, since it uses less digits than its factorization.

1056768300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1056768300 is about 32507.9728682057. The cubic root of 1056768300 is about 1018.5755780526.

The spelling of 1056768300 in words is "one billion, fifty-six million, seven hundred sixty-eight thousand, three hundred".