813715280 has 160 divisors (see below), whose sum is σ = 2350325760. Its totient is φ = 255674880.

The previous prime is 813715271. The next prime is 813715291. The reversal of 813715280 is 82517318.

813715280 is nontrivially palindromic in base 6.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 813715280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328607 + ... + 331073.

It is an arithmetic number, because the mean of its divisors is an integer number (14689536).

Almost surely, 2^813715280 is an apocalyptic number.

813715280 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 813715280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175162880).

813715280 is an abundant number, since it is smaller than the sum of its proper divisors (1536610480).

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

813715280 is a wasteful number, since it uses less digits than its factorization.

813715280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2537 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 813715280 is about 28525.6950835558. The cubic root of 813715280 is about 933.5927929449.

The spelling of 813715280 in words is "eight hundred thirteen million, seven hundred fifteen thousand, two hundred eighty".