80870842800 has 960 divisors, whose sum is σ = 347133496320. Its totient is φ = 17639424000.

The previous prime is 80870842769. The next prime is 80870842807. The reversal of 80870842800 is 824807808.

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

It is not an unprimeable number, because it can be changed into a prime (80870842807) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46449930 + ... + 46451670.

It is an arithmetic number, because the mean of its divisors is an integer number (361597392).

Almost surely, 2^80870842800 is an apocalyptic number.

80870842800 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 80870842800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173566748160).

80870842800 is an abundant number, since it is smaller than the sum of its proper divisors (266262653520).

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

80870842800 is a wasteful number, since it uses less digits than its factorization.

80870842800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 80870842800 in words is "eighty billion, eight hundred seventy million, eight hundred forty-two thousand, eight hundred".