803998027008 has 576 divisors, whose sum is σ = 2764325222400. Its totient is φ = 230779238400.

The previous prime is 803998027003. The next prime is 803998027031. The reversal of 803998027008 is 800720899308.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803998027003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117009813 + ... + 117016683.

Almost surely, 2^803998027008 is an apocalyptic number.

803998027008 is a gapful number since it is divisible by the number (88) 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 803998027008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382162611200).

803998027008 is an abundant number, since it is smaller than the sum of its proper divisors (1960327195392).

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

803998027008 is an equidigital number, since it uses as much as digits as its factorization.

803998027008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6938 (or 6906 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 803998027008 in words is "eight hundred three billion, nine hundred ninety-eight million, twenty-seven thousand, eight".