803252736 has 480 divisors, whose sum is σ = 2895564672. Its totient is φ = 210862080.

The previous prime is 803252731. The next prime is 803252743. The reversal of 803252736 is 637252308.

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

It is a self number, because there is not a number n which added to its sum of digits gives 803252736.

It is not an unprimeable number, because it can be changed into a prime (803252731) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15155686 + ... + 15155738.

Almost surely, 2^803252736 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 803252736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447782336).

803252736 is an abundant number, since it is smaller than the sum of its proper divisors (2092311936).

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

803252736 is a wasteful number, since it uses less digits than its factorization.

803252736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 803252736 is about 28341.7137096542. The cubic root of 803252736 is about 929.5742206357.

The spelling of 803252736 in words is "eight hundred three million, two hundred fifty-two thousand, seven hundred thirty-six".