1077318144 has 240 divisors, whose sum is σ = 3687972288. Its totient is φ = 307556352.

The previous prime is 1077318131. The next prime is 1077318163. The reversal of 1077318144 is 4418137701.

It is a super-2 number, since 2×1077318144² = 2321228766783209472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1077318099 and 1077318108.

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, 870294 + ... + 871530.

Almost surely, 2^1077318144 is an apocalyptic number.

1077318144 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 1077318144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843986144).

1077318144 is an abundant number, since it is smaller than the sum of its proper divisors (2610654144).

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

1077318144 is an frugal number, since it uses more digits than its factorization.

1077318144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 1077318144 is about 32822.5249485776. The cubic root of 1077318144 is about 1025.1356216342.

The spelling of 1077318144 in words is "one billion, seventy-seven million, three hundred eighteen thousand, one hundred forty-four".