80791603200 has 2160 divisors, whose sum is σ = 392241769920. Its totient is φ = 16057958400.

The previous prime is 80791603169. The next prime is 80791603231. The reversal of 80791603200 is 230619708.

It is an interprime number because it is at equal distance from previous prime (80791603169) and next prime (80791603231).

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3512678389 + ... + 3512678411.

It is an arithmetic number, because the mean of its divisors is an integer number (181593412).

Almost surely, 2^80791603200 is an apocalyptic number.

80791603200 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 80791603200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196120884960).

80791603200 is an abundant number, since it is smaller than the sum of its proper divisors (311450166720).

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

80791603200 is a wasteful number, since it uses less digits than its factorization.

80791603200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 51 counting only the distinct ones).

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

The spelling of 80791603200 in words is "eighty billion, seven hundred ninety-one million, six hundred three thousand, two hundred".