815279040 has 224 divisors, whose sum is σ = 2902671360. Its totient is φ = 215405568.

The previous prime is 815279039. The next prime is 815279041. The reversal of 815279040 is 40972518.

815279040 is a `hidden beast` number, since 8 + 1 + 527 + 90 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (815279039) and next prime (815279041).

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

It is a junction number, because it is equal to n+sod(n) for n = 815278986 and 815279004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (815279041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1096909 + ... + 1097651.

Almost surely, 2^815279040 is an apocalyptic number.

815279040 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 815279040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451335680).

815279040 is an abundant number, since it is smaller than the sum of its proper divisors (2087392320).

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

815279040 is a wasteful number, since it uses less digits than its factorization.

815279040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 815279040 is about 28553.0916014361. The cubic root of 815279040 is about 934.1904552559.

The spelling of 815279040 in words is "eight hundred fifteen million, two hundred seventy-nine thousand, forty".