813277368 has 128 divisors (see below), whose sum is σ = 2423520000. Its totient is φ = 251911296.

The previous prime is 813277357. The next prime is 813277373. The reversal of 813277368 is 863772318.

813277368 is a `hidden beast` number, since 8 + 13 + 277 + 368 = 666.

It is a super-2 number, since 2×813277368² = 1322840154602014848, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215643 + ... + 219381.

It is an arithmetic number, because the mean of its divisors is an integer number (18933750).

Almost surely, 2^813277368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813277368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211760000).

813277368 is an abundant number, since it is smaller than the sum of its proper divisors (1610242632).

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

813277368 is a wasteful number, since it uses less digits than its factorization.

813277368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3826 (or 3816 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 813277368 is about 28518.0183042230. The cubic root of 813277368 is about 933.4252876522.

The spelling of 813277368 in words is "eight hundred thirteen million, two hundred seventy-seven thousand, three hundred sixty-eight".