84780288 has 108 divisors (see below), whose sum is σ = 252540288. Its totient is φ = 27325440.

The previous prime is 84780287. The next prime is 84780313. The reversal of 84780288 is 88208748.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84780281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70831 + ... + 72017.

It is an arithmetic number, because the mean of its divisors is an integer number (2338336).

Almost surely, 2^84780288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84780288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126270144).

84780288 is an abundant number, since it is smaller than the sum of its proper divisors (167760000).

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

84780288 is a wasteful number, since it uses less digits than its factorization.

84780288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1223 counting only the distinct ones).

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

The square root of 84780288 is about 9207.6211911655. The cubic root of 84780288 is about 439.3038025922.

The spelling of 84780288 in words is "eighty-four million, seven hundred eighty thousand, two hundred eighty-eight".