803972160 has 168 divisors, whose sum is σ = 2928173976. Its totient is φ = 201768960.

The previous prime is 803972159. The next prime is 803972179. The reversal of 803972160 is 61279308.

803972160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12787776 + 791184384 = 3576^2 + 28128^2 .

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 23 ways as a sum of consecutive naturals, for example, 40750 + ... + 57170.

It is an arithmetic number, because the mean of its divisors is an integer number (17429607).

Almost surely, 2^803972160 is an apocalyptic number.

803972160 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 803972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464086988).

803972160 is an abundant number, since it is smaller than the sum of its proper divisors (2124201816).

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

803972160 is a wasteful number, since it uses less digits than its factorization.

803972160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16461 (or 16448 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 803972160 is about 28354.4028327172. The cubic root of 803972160 is about 929.8516586152.

The spelling of 803972160 in words is "eight hundred three million, nine hundred seventy-two thousand, one hundred sixty".