813617840 has 160 divisors (see below), whose sum is σ = 2236999680. Its totient is φ = 269448192.

The previous prime is 813617839. The next prime is 813617851. The reversal of 813617840 is 48716318.

813617840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 813617794 and 813617803.

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, 2344547 + ... + 2344893.

It is an arithmetic number, because the mean of its divisors is an integer number (13981248).

Almost surely, 2^813617840 is an apocalyptic number.

813617840 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 813617840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118499840).

813617840 is an abundant number, since it is smaller than the sum of its proper divisors (1423381840).

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

813617840 is a wasteful number, since it uses less digits than its factorization.

813617840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 813617840 is about 28523.9870985807. The cubic root of 813617840 is about 933.5555264647. Note that the first 4 decimals are identical.

The spelling of 813617840 in words is "eight hundred thirteen million, six hundred seventeen thousand, eight hundred forty".