1157768676 has 81 divisors (see below), whose sum is σ = 3010979881. Its totient is φ = 375102624.

The previous prime is 1157768657. The next prime is 1157768723. The reversal of 1157768676 is 6768677511.

The square root of 1157768676 is 34026.

It is a perfect power (a square), and thus also a powerful number.

1157768676 is a `hidden beast` number, since 1 + 1 + 577 + 6 + 8 + 67 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 834632100 + 323136576 = 28890^2 + 17976^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 10820215 + ... + 10820321.

Almost surely, 2^1157768676 is an apocalyptic number.

1157768676 is the 34026-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1157768676

1157768676 is an abundant number, since it is smaller than the sum of its proper divisors (1853211205).

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

1157768676 is a wasteful number, since it uses less digits than its factorization.

1157768676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 165 counting only the distinct ones).

The product of its digits is 2963520, while the sum is 54.

The cubic root of 1157768676 is about 1050.0434376588.

The spelling of 1157768676 in words is "one billion, one hundred fifty-seven million, seven hundred sixty-eight thousand, six hundred seventy-six".