1077077560 has 96 divisors (see below), whose sum is σ = 2645609040. Its totient is φ = 394447872.

The previous prime is 1077077543. The next prime is 1077077569. The reversal of 1077077560 is 657707701.

1077077560 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077077569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 925539 + ... + 926701.

Almost surely, 2^1077077560 is an apocalyptic number.

1077077560 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 1077077560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322804520).

1077077560 is an abundant number, since it is smaller than the sum of its proper divisors (1568531480).

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

1077077560 is a wasteful number, since it uses less digits than its factorization.

1077077560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 72030, while the sum is 40.

The square root of 1077077560 is about 32818.8598217549. The cubic root of 1077077560 is about 1025.0593057099.

The spelling of 1077077560 in words is "one billion, seventy-seven million, seventy-seven thousand, five hundred sixty".