815276280 has 192 divisors, whose sum is σ = 3027317760. Its totient is φ = 171984384.

The previous prime is 815276279. The next prime is 815276281. The reversal of 815276280 is 82672518.

815276280 = T₄₉₇₆ + T₄₉₇₇ + ... + T₅₀₄₀.

It is an interprime number because it is at equal distance from previous prime (815276279) and next prime (815276281).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (815276281) 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 47 ways as a sum of consecutive naturals, for example, 139089 + ... + 144831.

It is an arithmetic number, because the mean of its divisors is an integer number (15767280).

Almost surely, 2^815276280 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 815276280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513658880).

815276280 is an abundant number, since it is smaller than the sum of its proper divisors (2212041480).

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

815276280 is a wasteful number, since it uses less digits than its factorization.

815276280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5790 (or 5773 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 815276280 is about 28553.0432703766. The cubic root of 815276280 is about 934.1894010693.

The spelling of 815276280 in words is "eight hundred fifteen million, two hundred seventy-six thousand, two hundred eighty".