84766500 has 480 divisors, whose sum is σ = 355170816. Its totient is φ = 17107200.

The previous prime is 84766499. The next prime is 84766501. The reversal of 84766500 is 566748.

It is a happy number.

84766500 is a `hidden beast` number, since 84 + 76 + 6 + 500 = 666.

It is an interprime number because it is at equal distance from previous prime (84766499) and next prime (84766501).

It is a super-3 number, since 3×84766500³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (84766501) 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 159 ways as a sum of consecutive naturals, for example, 3685489 + ... + 3685511.

Almost surely, 2^84766500 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 84766500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177585408).

84766500 is an abundant number, since it is smaller than the sum of its proper divisors (270404316).

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

84766500 is a wasteful number, since it uses less digits than its factorization.

84766500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 84766500 is about 9206.8724331338. The cubic root of 84766500 is about 439.2799863280.

The spelling of 84766500 in words is "eighty-four million, seven hundred sixty-six thousand, five hundred".