1077405768 has 48 divisors (see below), whose sum is σ = 2931102720. Its totient is φ = 357519456.

The previous prime is 1077405743. The next prime is 1077405799. The reversal of 1077405768 is 8675047701.

1077405768 is a `hidden beast` number, since 1 + 0 + 7 + 74 + 0 + 576 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17496 + ... + 49607.

It is an arithmetic number, because the mean of its divisors is an integer number (61064640).

Almost surely, 2^1077405768 is an apocalyptic number.

1077405768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1077405768 is an abundant number, since it is smaller than the sum of its proper divisors (1853696952).

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

1077405768 is a wasteful number, since it uses less digits than its factorization.

1077405768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67338 (or 67331 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The square root of 1077405768 is about 32823.8597364783. The cubic root of 1077405768 is about 1025.1634141203.

The spelling of 1077405768 in words is "one billion, seventy-seven million, four hundred five thousand, seven hundred sixty-eight".