803366272800 has 576 divisors, whose sum is σ = 3576018620160. Its totient is φ = 169501040640.

The previous prime is 803366272739. The next prime is 803366272831. The reversal of 803366272800 is 8272663308.

803366272800 is a `hidden beast` number, since 8 + 0 + 3 + 366 + 2 + 7 + 280 + 0 = 666.

803366272800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1761244 + ... + 2169956.

It is an arithmetic number, because the mean of its divisors is an integer number (6208365660).

Almost surely, 2^803366272800 is an apocalyptic number.

803366272800 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 803366272800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788009310080).

803366272800 is an abundant number, since it is smaller than the sum of its proper divisors (2772652347360).

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

803366272800 is a wasteful number, since it uses less digits than its factorization.

803366272800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408762 (or 408743 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 803366272800 in words is "eight hundred three billion, three hundred sixty-six million, two hundred seventy-two thousand, eight hundred".