84278880 has 240 divisors, whose sum is σ = 340290720. Its totient is φ = 19243008.

The previous prime is 84278879. The next prime is 84278893. The reversal of 84278880 is 8887248.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×84278880² = 14205859228108800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 90256 + ... + 91184.

It is an arithmetic number, because the mean of its divisors is an integer number (1417878).

Almost surely, 2^84278880 is an apocalyptic number.

84278880 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 84278880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170145360).

84278880 is an abundant number, since it is smaller than the sum of its proper divisors (256011840).

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

84278880 is a wasteful number, since it uses less digits than its factorization.

84278880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 946 counting only the distinct ones).

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

The square root of 84278880 is about 9180.3529343920. The cubic root of 84278880 is about 438.4360453961.

It can be divided in two parts, 84278 and 880, that added together give a palindrome (85158).

The spelling of 84278880 in words is "eighty-four million, two hundred seventy-eight thousand, eight hundred eighty".