172800840 has 128 divisors (see below), whose sum is σ = 546082560. Its totient is φ = 43659264.

The previous prime is 172800833. The next prime is 172800847. The reversal of 172800840 is 48008271.

It is an interprime number because it is at equal distance from previous prime (172800833) and next prime (172800847).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 172800798 and 172800807.

It is not an unprimeable number, because it can be changed into a prime (172800847) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 377892 + ... + 378348.

It is an arithmetic number, because the mean of its divisors is an integer number (4266270).

Almost surely, 2^172800840 is an apocalyptic number.

172800840 is a gapful number since it is divisible by the number (10) 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 172800840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273041280).

172800840 is an abundant number, since it is smaller than the sum of its proper divisors (373281720).

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

172800840 is a wasteful number, since it uses less digits than its factorization.

172800840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 172800840 is about 13145.3733305677. The cubic root of 172800840 is about 556.9915625632.

The spelling of 172800840 in words is "one hundred seventy-two million, eight hundred thousand, eight hundred forty".