803262720 has 144 divisors (see below), whose sum is σ = 2762932032. Its totient is φ = 197713920.

The previous prime is 803262703. The next prime is 803262721. The reversal of 803262720 is 27262308.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (803262721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41875 + ... + 57965.

It is an arithmetic number, because the mean of its divisors is an integer number (19187028).

Almost surely, 2^803262720 is an apocalyptic number.

803262720 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 803262720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381466016).

803262720 is an abundant number, since it is smaller than the sum of its proper divisors (1959669312).

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

803262720 is a wasteful number, since it uses less digits than its factorization.

803262720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16128 (or 16114 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 803262720 is about 28341.8898452450. The cubic root of 803262720 is about 929.5780719892.

The spelling of 803262720 in words is "eight hundred three million, two hundred sixty-two thousand, seven hundred twenty".