84800714880 has 512 divisors, whose sum is σ = 329175705600. Its totient is φ = 18137088000.

The previous prime is 84800714851. The next prime is 84800714903. The reversal of 84800714880 is 8841700848.

It is a happy number.

It is a super-2 number, since 2×84800714880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21192880 + ... + 21196880.

It is an arithmetic number, because the mean of its divisors is an integer number (642921300).

Almost surely, 2^84800714880 is an apocalyptic number.

84800714880 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 84800714880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164587852800).

84800714880 is an abundant number, since it is smaller than the sum of its proper divisors (244374990720).

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

84800714880 is a wasteful number, since it uses less digits than its factorization.

84800714880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4132 (or 4120 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 48.

The spelling of 84800714880 in words is "eighty-four billion, eight hundred million, seven hundred fourteen thousand, eight hundred eighty".