819233280 has 360 divisors, whose sum is σ = 3010946796. Its totient is φ = 205701120.

The previous prime is 819233269. The next prime is 819233293. The reversal of 819233280 is 82332918.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 799305984 + 19927296 = 28272^2 + 4464^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×819233280² = 1342286334119116800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22141422 + ... + 22141458.

Almost surely, 2^819233280 is an apocalyptic number.

819233280 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 819233280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505473398).

819233280 is an abundant number, since it is smaller than the sum of its proper divisors (2191713516).

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

819233280 is a wasteful number, since it uses less digits than its factorization.

819233280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 819233280 is about 28622.2514837670. The cubic root of 819233280 is about 935.6983468001.

The spelling of 819233280 in words is "eight hundred nineteen million, two hundred thirty-three thousand, two hundred eighty".