84797280 has 168 divisors, whose sum is σ = 300776112. Its totient is φ = 22581504.

The previous prime is 84797269. The next prime is 84797287. The reversal of 84797280 is 8279748.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84797287) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 116277 + ... + 117003.

It is an arithmetic number, because the mean of its divisors is an integer number (1790334).

Almost surely, 2^84797280 is an apocalyptic number.

84797280 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 84797280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150388056).

84797280 is an abundant number, since it is smaller than the sum of its proper divisors (215978832).

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

84797280 is an equidigital number, since it uses as much as digits as its factorization.

84797280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 84797280 is about 9208.5438588302. The cubic root of 84797280 is about 439.3331496324. Note that the first 3 decimals are identical.

The spelling of 84797280 in words is "eighty-four million, seven hundred ninety-seven thousand, two hundred eighty".