811187040 has 96 divisors (see below), whose sum is σ = 2560481280. Its totient is φ = 215873024.

The previous prime is 811187033. The next prime is 811187051. The reversal of 811187040 is 40781118.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 811186989 and 811187007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280321 + ... + 283199.

It is an arithmetic number, because the mean of its divisors is an integer number (26671680).

Almost surely, 2^811187040 is an apocalyptic number.

811187040 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 811187040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280240640).

811187040 is an abundant number, since it is smaller than the sum of its proper divisors (1749294240).

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

811187040 is a wasteful number, since it uses less digits than its factorization.

811187040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3484 (or 3476 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 30.

The square root of 811187040 is about 28481.3454738360. The cubic root of 811187040 is about 932.6248886966.

The spelling of 811187040 in words is "eight hundred eleven million, one hundred eighty-seven thousand, forty".