811980504 has 128 divisors (see below), whose sum is σ = 2410464000. Its totient is φ = 252502272.

The previous prime is 811980497. The next prime is 811980509. The reversal of 811980504 is 405089118.

811980504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (811980509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273492 + ... + 276444.

It is an arithmetic number, because the mean of its divisors is an integer number (18831750).

Almost surely, 2^811980504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 811980504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205232000).

811980504 is an abundant number, since it is smaller than the sum of its proper divisors (1598483496).

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

811980504 is a wasteful number, since it uses less digits than its factorization.

811980504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3054 (or 3044 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 811980504 is about 28495.2716077598. The cubic root of 811980504 is about 932.9288724843.

The spelling of 811980504 in words is "eight hundred eleven million, nine hundred eighty thousand, five hundred four".