1157811792 has 80 divisors (see below), whose sum is σ = 3244292352. Its totient is φ = 354365440.

The previous prime is 1157811779. The next prime is 1157811799. The reversal of 1157811792 is 2971187511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157811799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16153 + ... + 50759.

Almost surely, 2^1157811792 is an apocalyptic number.

1157811792 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 1157811792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622146176).

1157811792 is an abundant number, since it is smaller than the sum of its proper divisors (2086480560).

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

1157811792 is a wasteful number, since it uses less digits than its factorization.

1157811792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34676 (or 34670 counting only the distinct ones).

The product of its digits is 35280, while the sum is 42.

The square root of 1157811792 is about 34026.6335684270. The cubic root of 1157811792 is about 1050.0564722461.

The spelling of 1157811792 in words is "one billion, one hundred fifty-seven million, eight hundred eleven thousand, seven hundred ninety-two".