803005920 has 192 divisors, whose sum is σ = 2831431680. Its totient is φ = 212544000.

The previous prime is 803005883. The next prime is 803005937. The reversal of 803005920 is 29500308.

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 31 ways as a sum of consecutive naturals, for example, 651705 + ... + 652935.

It is an arithmetic number, because the mean of its divisors is an integer number (14747040).

Almost surely, 2^803005920 is an apocalyptic number.

803005920 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 803005920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415715840).

803005920 is an abundant number, since it is smaller than the sum of its proper divisors (2028425760).

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

803005920 is a wasteful number, since it uses less digits than its factorization.

803005920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 803005920 is about 28337.3590865486. The cubic root of 803005920 is about 929.4790005869.

The spelling of 803005920 in words is "eight hundred three million, five thousand, nine hundred twenty".