1077083396928 has 280 divisors, whose sum is σ = 3980650960704. Its totient is φ = 279761817600.

The previous prime is 1077083396911. The next prime is 1077083396929. The reversal of 1077083396928 is 8296933807701.

1077083396928 is a `hidden beast` number, since 10 + 7 + 70 + 83 + 396 + 92 + 8 = 666.

1077083396928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077083396929) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 949993 + ... + 1748328.

Almost surely, 2^{1077083396928} is an apocalyptic number.

1077083396928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1077083396928 is an abundant number, since it is smaller than the sum of its proper divisors (2903567563776).

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

1077083396928 is a wasteful number, since it uses less digits than its factorization.

1077083396928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2698363 (or 2698344 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 1077083396928 in words is "one trillion, seventy-seven billion, eighty-three million, three hundred ninety-six thousand, nine hundred twenty-eight".