80582342400 has 1296 divisors, whose sum is σ = 355973882880. Its totient is φ = 17766604800.

The previous prime is 80582342387. The next prime is 80582342419. The reversal of 80582342400 is 424328508.

80582342400 is a `hidden beast` number, since 8 + 0 + 582 + 34 + 2 + 40 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 262483047 + ... + 262483353.

Almost surely, 2^80582342400 is an apocalyptic number.

80582342400 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 80582342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177986941440).

80582342400 is an abundant number, since it is smaller than the sum of its proper divisors (275391540480).

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

80582342400 is a wasteful number, since it uses less digits than its factorization.

80582342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 80582342400 in words is "eighty billion, five hundred eighty-two million, three hundred forty-two thousand, four hundred".