803007960 has 128 divisors (see below), whose sum is σ = 2482099200. Its totient is φ = 207703040.

The previous prime is 803007943. The next prime is 803007967. The reversal of 803007960 is 69700308.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803007967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1116481 + ... + 1117199.

It is an arithmetic number, because the mean of its divisors is an integer number (19391400).

Almost surely, 2^803007960 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 803007960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241049600).

803007960 is an abundant number, since it is smaller than the sum of its proper divisors (1679091240).

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

803007960 is a wasteful number, since it uses less digits than its factorization.

803007960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 803007960 is about 28337.3950814114. The cubic root of 803007960 is about 929.4797876859.

The spelling of 803007960 in words is "eight hundred three million, seven thousand, nine hundred sixty".