1157765400 has 480 divisors, whose sum is σ = 4496698800. Its totient is φ = 273715200.

The previous prime is 1157765383. The next prime is 1157765407. The reversal of 1157765400 is 45677511.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157765407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13008556 + ... + 13008644.

Almost surely, 2^1157765400 is an apocalyptic number.

1157765400 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 1157765400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248349400).

1157765400 is an abundant number, since it is smaller than the sum of its proper divisors (3338933400).

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

1157765400 is a wasteful number, since it uses less digits than its factorization.

1157765400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 1157765400 is about 34025.9518603080. The cubic root of 1157765400 is about 1050.0424472636.

The spelling of 1157765400 in words is "one billion, one hundred fifty-seven million, seven hundred sixty-five thousand, four hundred".