1077863904 has 144 divisors (see below), whose sum is σ = 3444753312. Its totient is φ = 317205504.

The previous prime is 1077863879. The next prime is 1077863921. The reversal of 1077863904 is 4093687701.

1077863904 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 8 + 639 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1077863904² = 2323581191092242432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1077863904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79854 + ... + 92370.

It is an arithmetic number, because the mean of its divisors is an integer number (23921898).

Almost surely, 2^1077863904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1077863904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722376656).

1077863904 is an abundant number, since it is smaller than the sum of its proper divisors (2366889408).

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

1077863904 is a wasteful number, since it uses less digits than its factorization.

1077863904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12569 (or 12558 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 1077863904 is about 32830.8376987247. The cubic root of 1077863904 is about 1025.3087006734.

The spelling of 1077863904 in words is "one billion, seventy-seven million, eight hundred sixty-three thousand, nine hundred four".