84275280 has 120 divisors (see below), whose sum is σ = 287413152. Its totient is φ = 22125312.

The previous prime is 84275263. The next prime is 84275281. The reversal of 84275280 is 8257248.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84275281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47367 + ... + 49113.

Almost surely, 2^84275280 is an apocalyptic number.

84275280 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 84275280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143706576).

84275280 is an abundant number, since it is smaller than the sum of its proper divisors (203137872).

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

84275280 is a wasteful number, since it uses less digits than its factorization.

84275280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 84275280 is about 9180.1568614049. The cubic root of 84275280 is about 438.4298026608.

The spelling of 84275280 in words is "eighty-four million, two hundred seventy-five thousand, two hundred eighty".