1077691392 has 264 divisors, whose sum is σ = 3326162112. Its totient is φ = 348364800.

The previous prime is 1077691361. The next prime is 1077691399. The reversal of 1077691392 is 2931967701.

1077691392 is a `hidden beast` number, since 107 + 76 + 91 + 392 = 666.

It is a super-2 number, since 2×1077691392² = 2322837472781795328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1077691399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15178717 + ... + 15178787.

Almost surely, 2^1077691392 is an apocalyptic number.

1077691392 is a gapful number since it is divisible by the number (12) 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 1077691392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663081056).

1077691392 is an abundant number, since it is smaller than the sum of its proper divisors (2248470720).

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

1077691392 is an frugal number, since it uses more digits than its factorization.

1077691392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 1077691392 is about 32828.2103075998. The cubic root of 1077691392 is about 1025.2539975731.

The spelling of 1077691392 in words is "one billion, seventy-seven million, six hundred ninety-one thousand, three hundred ninety-two".