1077380864 has 72 divisors (see below), whose sum is σ = 2587213440. Its totient is φ = 437419008.

The previous prime is 1077380849. The next prime is 1077380879. The reversal of 1077380864 is 4680837701.

It is an interprime number because it is at equal distance from previous prime (1077380849) and next prime (1077380879).

It is a super-2 number, since 2×1077380864² = 2321499052226772992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18227 + ... + 49869.

It is an arithmetic number, because the mean of its divisors is an integer number (35933520).

Almost surely, 2^1077380864 is an apocalyptic number.

1077380864 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 1077380864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293606720).

1077380864 is an abundant number, since it is smaller than the sum of its proper divisors (1509832576).

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

1077380864 is an equidigital number, since it uses as much as digits as its factorization.

1077380864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31685 (or 31671 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 44.

The square root of 1077380864 is about 32823.4803760966. The cubic root of 1077380864 is about 1025.1555152496.

The spelling of 1077380864 in words is "one billion, seventy-seven million, three hundred eighty thousand, eight hundred sixty-four".