84087773280 has 576 divisors, whose sum is σ = 337481883648. Its totient is φ = 18668482560.

The previous prime is 84087773267. The next prime is 84087773293. The reversal of 84087773280 is 8237778048.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (84087773267) and next prime (84087773293).

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 95 ways as a sum of consecutive naturals, for example, 57162945 + ... + 57164415.

It is an arithmetic number, because the mean of its divisors is an integer number (585906048).

Almost surely, 2^84087773280 is an apocalyptic number.

84087773280 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 84087773280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168740941824).

84087773280 is an abundant number, since it is smaller than the sum of its proper divisors (253394110368).

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

84087773280 is a wasteful number, since it uses less digits than its factorization.

84087773280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 84087773280 in words is "eighty-four billion, eighty-seven million, seven hundred seventy-three thousand, two hundred eighty".