420875000080 has 80 divisors (see below), whose sum is σ = 994940319744. Its totient is φ = 165541432320.

The previous prime is 420875000069. The next prime is 420875000083. The reversal of 420875000080 is 80000578024.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (420875000083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1824177 + ... + 2041903.

Almost surely, 2^420875000080 is an apocalyptic number.

420875000080 is a gapful number since it is divisible by the number (40) 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 420875000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497470159872).

420875000080 is an abundant number, since it is smaller than the sum of its proper divisors (574065319664).

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

420875000080 is a wasteful number, since it uses less digits than its factorization.

420875000080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218144 (or 218138 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The spelling of 420875000080 in words is "four hundred twenty billion, eight hundred seventy-five million, eighty", and thus it is an aban number.