1077566976 has 140 divisors (see below), whose sum is σ = 3229185432. Its totient is φ = 359064576.

The previous prime is 1077566953. The next prime is 1077566977. The reversal of 1077566976 is 6796657701.

It is a happy number.

1077566976 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 566 + 9 + 76 = 666.

It is a super-2 number, since 2×1077566976² = 2322301175531569152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077566977) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 371805 + ... + 374691.

Almost surely, 2^1077566976 is an apocalyptic number.

1077566976 is a gapful number since it is divisible by the number (16) 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 1077566976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614592716).

1077566976 is an abundant number, since it is smaller than the sum of its proper divisors (2151618456).

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

1077566976 is an frugal number, since it uses more digits than its factorization.

1077566976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2923 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The square root of 1077566976 is about 32826.3152973342. The cubic root of 1077566976 is about 1025.2145419641.

The spelling of 1077566976 in words is "one billion, seventy-seven million, five hundred sixty-six thousand, nine hundred seventy-six".