1077793024 has 216 divisors, whose sum is σ = 2793395808. Its totient is φ = 410296320.

The previous prime is 1077792997. The next prime is 1077793037. The reversal of 1077793024 is 4203977701.

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, 10072779 + ... + 10072885.

It is an arithmetic number, because the mean of its divisors is an integer number (12932388).

Almost surely, 2^1077793024 is an apocalyptic number.

1077793024 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 1077793024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396697904).

1077793024 is an abundant number, since it is smaller than the sum of its proper divisors (1715602784).

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

1077793024 is a wasteful number, since it uses less digits than its factorization.

1077793024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 40.

The square root of 1077793024 is about 32829.7582080648. The cubic root of 1077793024 is about 1025.2862255188.

The spelling of 1077793024 in words is "one billion, seventy-seven million, seven hundred ninety-three thousand, twenty-four".