84763000 has 64 divisors (see below), whose sum is σ = 226699200. Its totient is φ = 29059200.

The previous prime is 84762991. The next prime is 84763013. The reversal of 84763000 is 36748.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 84763000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 946 + ... + 13054.

It is an arithmetic number, because the mean of its divisors is an integer number (3542175).

Almost surely, 2^84763000 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 84763000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113349600).

84763000 is an abundant number, since it is smaller than the sum of its proper divisors (141936200).

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

84763000 is a wasteful number, since it uses less digits than its factorization.

84763000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12137 (or 12123 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 84763000 is about 9206.6823557675. The cubic root of 84763000 is about 439.2739403030.

Adding to 84763000 its reverse (36748), we get a palindrome (84799748).

It can be divided in two parts, 8476 and 3000, that added together give a triangular number (11476 = T₁₅₁).

The spelling of 84763000 in words is "eighty-four million, seven hundred sixty-three thousand".