420007680 has 180 divisors, whose sum is σ = 1503235272. Its totient is φ = 111974400.

The previous prime is 420007633. The next prime is 420007681. The reversal of 420007680 is 86700024.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420007681) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 101655 + ... + 105705.

Almost surely, 2^420007680 is an apocalyptic number.

420007680 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 420007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751617636).

420007680 is an abundant number, since it is smaller than the sum of its proper divisors (1083227592).

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

420007680 is an equidigital number, since it uses as much as digits as its factorization.

420007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4084 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 420007680 is about 20494.0889038766. The cubic root of 420007680 is about 748.8918033401.

The spelling of 420007680 in words is "four hundred twenty million, seven thousand, six hundred eighty".