803744640 has 256 divisors, whose sum is σ = 2873217600. Its totient is φ = 212336640.

The previous prime is 803744639. The next prime is 803744647. The reversal of 803744640 is 46447308.

803744640 is a `hidden beast` number, since 8 + 0 + 3 + 7 + 4 + 4 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 803744595 and 803744604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803744647) 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, 3334920 + ... + 3335160.

Almost surely, 2^803744640 is an apocalyptic number.

803744640 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 803744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436608800).

803744640 is an abundant number, since it is smaller than the sum of its proper divisors (2069472960).

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

803744640 is a wasteful number, since it uses less digits than its factorization.

803744640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 803744640 is about 28350.3904735014. The cubic root of 803744640 is about 929.7639359220.

The spelling of 803744640 in words is "eight hundred three million, seven hundred forty-four thousand, six hundred forty".