1157760000 has 440 divisors, whose sum is σ = 4348483040. Its totient is φ = 304128000.

The previous prime is 1157759963. The next prime is 1157760001. The reversal of 1157760000 is 677511.

1157760000 is a `hidden beast` number, since 1 + 1 + 57 + 7 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1157760001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17279967 + ... + 17280033.

It is an arithmetic number, because the mean of its divisors is an integer number (9882916).

Almost surely, 2^1157760000 is an apocalyptic number.

1157760000 is a gapful number since it is divisible by the number (10) 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 1157760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174241520).

1157760000 is an abundant number, since it is smaller than the sum of its proper divisors (3190723040).

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

1157760000 is an frugal number, since it uses more digits than its factorization.

1157760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 1157760000 is about 34025.8725090188. The cubic root of 1157760000 is about 1050.0408147400.

The spelling of 1157760000 in words is "one billion, one hundred fifty-seven million, seven hundred sixty thousand".