80284932000 has 1440 divisors, whose sum is σ = 370099089360. Its totient is φ = 16895692800.

The previous prime is 80284931959. The next prime is 80284932001. The reversal of 80284932000 is 23948208.

It can be written as a sum of positive squares in 8 ways, for example, as 1900611216 + 78384320784 = 43596^2 + 279972^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (80284932001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 206387806 + ... + 206388194.

Almost surely, 2^80284932000 is an apocalyptic number.

80284932000 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 80284932000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185049544680).

80284932000 is an abundant number, since it is smaller than the sum of its proper divisors (289814157360).

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

80284932000 is a wasteful number, since it uses less digits than its factorization.

80284932000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 80284932000 in words is "eighty billion, two hundred eighty-four million, nine hundred thirty-two thousand".