803537280 has 768 divisors, whose sum is σ = 3613982400. Its totient is φ = 167215104.

The previous prime is 803537279. The next prime is 803537321. The reversal of 803537280 is 82735308.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11007324 + ... + 11007396.

Almost surely, 2^803537280 is an apocalyptic number.

803537280 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 803537280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806991200).

803537280 is an abundant number, since it is smaller than the sum of its proper divisors (2810445120).

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

803537280 is a wasteful number, since it uses less digits than its factorization.

803537280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 803537280 is about 28346.7331451086. The cubic root of 803537280 is about 929.6839717052.

The spelling of 803537280 in words is "eight hundred three million, five hundred thirty-seven thousand, two hundred eighty".