1077314784 has 288 divisors, whose sum is σ = 3603640320. Its totient is φ = 279272448.

The previous prime is 1077314773. The next prime is 1077314809. The reversal of 1077314784 is 4874137701.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4830897 + ... + 4831119.

It is an arithmetic number, because the mean of its divisors is an integer number (12512640).

Almost surely, 2^1077314784 is an apocalyptic number.

1077314784 is a gapful number since it is divisible by the number (14) 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 1077314784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801820160).

1077314784 is an abundant number, since it is smaller than the sum of its proper divisors (2526325536).

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

1077314784 is a wasteful number, since it uses less digits than its factorization.

1077314784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 42.

The square root of 1077314784 is about 32822.4737641757. The cubic root of 1077314784 is about 1025.1345558830.

The spelling of 1077314784 in words is "one billion, seventy-seven million, three hundred fourteen thousand, seven hundred eighty-four".