811077520 has 120 divisors (see below), whose sum is σ = 2163486528. Its totient is φ = 282036480.

The previous prime is 811077503. The next prime is 811077541. The reversal of 811077520 is 25770118.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220819 + ... + 224461.

Almost surely, 2^811077520 is an apocalyptic number.

811077520 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 811077520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081743264).

811077520 is an abundant number, since it is smaller than the sum of its proper divisors (1352409008).

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

811077520 is a wasteful number, since it uses less digits than its factorization.

811077520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3701 (or 3684 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 31.

The square root of 811077520 is about 28479.4227469589. The cubic root of 811077520 is about 932.5829149511.

The spelling of 811077520 in words is "eight hundred eleven million, seventy-seven thousand, five hundred twenty".