813120000 has 600 divisors, whose sum is σ = 3400386528. Its totient is φ = 168960000.

The previous prime is 813119999. The next prime is 813120017. The reversal of 813120000 is 21318.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×813120000² = 1322328268800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 73919995 + ... + 73920005.

Almost surely, 2^813120000 is an apocalyptic number.

813120000 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 813120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700193264).

813120000 is an abundant number, since it is smaller than the sum of its proper divisors (2587266528).

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

813120000 is an equidigital number, since it uses as much as digits as its factorization.

813120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 813120000 is about 28515.2590729946. The cubic root of 813120000 is about 933.3650782853.

Adding to 813120000 its reverse (21318), we get a palindrome (813141318).

The spelling of 813120000 in words is "eight hundred thirteen million, one hundred twenty thousand".