803978832384 has 1280 divisors, whose sum is σ = 3143158824960. Its totient is φ = 197074944000.

The previous prime is 803978832379. The next prime is 803978832427. The reversal of 803978832384 is 483238879308.

803978832384 is a `hidden beast` number, since 8 + 0 + 397 + 8 + 8 + 3 + 238 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1070544009 + ... + 1070544759.

It is an arithmetic number, because the mean of its divisors is an integer number (2455592832).

Almost surely, 2^803978832384 is an apocalyptic number.

803978832384 is a gapful number since it is divisible by the number (84) 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 803978832384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571579412480).

803978832384 is an abundant number, since it is smaller than the sum of its proper divisors (2339179992576).

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

803978832384 is a wasteful number, since it uses less digits than its factorization.

803978832384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 803978832384 in words is "eight hundred three billion, nine hundred seventy-eight million, eight hundred thirty-two thousand, three hundred eighty-four".