810025920 has 336 divisors, whose sum is σ = 3155338368. Its totient is φ = 196162560.

The previous prime is 810025919. The next prime is 810025933. The reversal of 810025920 is 29520018.

It is a super-2 number, since 2×810025920² = 1312283982143692800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 854887 + ... + 855833.

It is an arithmetic number, because the mean of its divisors is an integer number (9390888).

Almost surely, 2^810025920 is an apocalyptic number.

810025920 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 810025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577669184).

810025920 is an abundant number, since it is smaller than the sum of its proper divisors (2345312448).

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

810025920 is a wasteful number, since it uses less digits than its factorization.

810025920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 810025920 is about 28460.9543058556. The cubic root of 810025920 is about 932.1796948241.

Adding to 810025920 its reverse (29520018), we get a palindrome (839545938).

The spelling of 810025920 in words is "eight hundred ten million, twenty-five thousand, nine hundred twenty".