1077314400 has 108 divisors (see below), whose sum is σ = 3798905292. Its totient is φ = 287281920.

The previous prime is 1077314377. The next prime is 1077314431. The reversal of 1077314400 is 44137701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 67614 + ... + 82013.

It is an arithmetic number, because the mean of its divisors is an integer number (35175049).

Almost surely, 2^1077314400 is an apocalyptic number.

1077314400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1077314400 is an abundant number, since it is smaller than the sum of its proper divisors (2721590892).

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

1077314400 is a wasteful number, since it uses less digits than its factorization.

1077314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149653 (or 149637 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 1077314400 is about 32822.4679145246. The cubic root of 1077314400 is about 1025.1344340827.

The spelling of 1077314400 in words is "one billion, seventy-seven million, three hundred fourteen thousand, four hundred".