803732181120 has 1344 divisors, whose sum is σ = 3309528801600. Its totient is φ = 186071592960.

The previous prime is 803732181071. The next prime is 803732181127. The reversal of 803732181120 is 21181237308.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803732181127) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1298436171 + ... + 1298436789.

It is an arithmetic number, because the mean of its divisors is an integer number (2462447025).

Almost surely, 2^803732181120 is an apocalyptic number.

803732181120 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 803732181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654764400800).

803732181120 is an abundant number, since it is smaller than the sum of its proper divisors (2505796620480).

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

803732181120 is a wasteful number, since it uses less digits than its factorization.

803732181120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 803732181120 in words is "eight hundred three billion, seven hundred thirty-two million, one hundred eighty-one thousand, one hundred twenty".