803416320 has 576 divisors, whose sum is σ = 3378977280. Its totient is φ = 179159040.

The previous prime is 803416309. The next prime is 803416331. The reversal of 803416320 is 23614308.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (803416309) and next prime (803416331).

It is a tau number, because it is divible by the number of its divisors (576).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19595500 + ... + 19595540.

It is an arithmetic number, because the mean of its divisors is an integer number (5866280).

Almost surely, 2^803416320 is an apocalyptic number.

803416320 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 803416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689488640).

803416320 is an abundant number, since it is smaller than the sum of its proper divisors (2575560960).

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

803416320 is an frugal number, since it uses more digits than its factorization.

803416320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 803416320 is about 28344.5994856163. The cubic root of 803416320 is about 929.6373195588.

The spelling of 803416320 in words is "eight hundred three million, four hundred sixteen thousand, three hundred twenty".