84781786320 has 1440 divisors, whose sum is σ = 391881584640. Its totient is φ = 16628198400.

The previous prime is 84781786319. The next prime is 84781786321. The reversal of 84781786320 is 2368718748.

It is a happy number.

84781786320 is a `hidden beast` number, since 84 + 78 + 178 + 6 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (84781786319) and next prime (84781786321).

It is a super-2 number, since 2×84781786320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84781786321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 312847785 + ... + 312848055.

Almost surely, 2^84781786320 is an apocalyptic number.

84781786320 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 84781786320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195940792320).

84781786320 is an abundant number, since it is smaller than the sum of its proper divisors (307099798320).

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

84781786320 is a wasteful number, since it uses less digits than its factorization.

84781786320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 84781786320 in words is "eighty-four billion, seven hundred eighty-one million, seven hundred eighty-six thousand, three hundred twenty".