813375360 has 192 divisors, whose sum is σ = 3210086880. Its totient is φ = 185905152.

The previous prime is 813375359. The next prime is 813375371. The reversal of 813375360 is 63573318.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30234 + ... + 50406.

Almost surely, 2^813375360 is an apocalyptic number.

813375360 is a gapful number since it is divisible by the number (80) 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 813375360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605043440).

813375360 is an abundant number, since it is smaller than the sum of its proper divisors (2396711520).

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

813375360 is a wasteful number, since it uses less digits than its factorization.

813375360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20205 (or 20190 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 813375360 is about 28519.7363241668. The cubic root of 813375360 is about 933.4627756978.

The spelling of 813375360 in words is "eight hundred thirteen million, three hundred seventy-five thousand, three hundred sixty".