816013440 has 512 divisors, whose sum is σ = 3251923200. Its totient is φ = 194088960.

The previous prime is 816013439. The next prime is 816013453. The reversal of 816013440 is 44310618.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15396454 + ... + 15396506.

Almost surely, 2^816013440 is an apocalyptic number.

816013440 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 816013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625961600).

816013440 is an abundant number, since it is smaller than the sum of its proper divisors (2435909760).

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

816013440 is an equidigital number, since it uses as much as digits as its factorization.

816013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 816013440 is about 28565.9489602569. The cubic root of 816013440 is about 934.4708760431.

The spelling of 816013440 in words is "eight hundred sixteen million, thirteen thousand, four hundred forty".