1077132560 has 80 divisors (see below), whose sum is σ = 2866233216. Its totient is φ = 368769024.

The previous prime is 1077132559. The next prime is 1077132577. The reversal of 1077132560 is 652317701.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 725579 + ... + 727061.

Almost surely, 2^1077132560 is an apocalyptic number.

1077132560 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 1077132560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433116608).

1077132560 is an abundant number, since it is smaller than the sum of its proper divisors (1789100656).

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

1077132560 is a wasteful number, since it uses less digits than its factorization.

1077132560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2800 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 1077132560 is about 32819.6977438855. The cubic root of 1077132560 is about 1025.0767533244.

The spelling of 1077132560 in words is "one billion, seventy-seven million, one hundred thirty-two thousand, five hundred sixty".