1077560000 has 280 divisors, whose sum is σ = 3047024640. Its totient is φ = 374400000.

The previous prime is 1077559997. The next prime is 1077560021. The reversal of 1077560000 is 657701.

It is a super-2 number, since 2×1077560000² = 2322271107200000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13639961 + ... + 13640039.

Almost surely, 2^1077560000 is an apocalyptic number.

1077560000 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 1077560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523512320).

1077560000 is an abundant number, since it is smaller than the sum of its proper divisors (1969464640).

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

1077560000 is an equidigital number, since it uses as much as digits as its factorization.

1077560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 26.

The square root of 1077560000 is about 32826.2090409478. The cubic root of 1077560000 is about 1025.2123295999.

The spelling of 1077560000 in words is "one billion, seventy-seven million, five hundred sixty thousand".