76284500 has 48 divisors (see below), whose sum is σ = 172383120. Its totient is φ = 29456000.

The previous prime is 76284499. The next prime is 76284503. The reversal of 76284500 is 548267.

It can be written as a sum of positive squares in 8 ways, for example, as 15382084 + 60902416 = 3922^2 + 7804^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76284503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11870 + ... + 17130.

It is an arithmetic number, because the mean of its divisors is an integer number (3591315).

Almost surely, 2^76284500 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 76284500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86191560).

76284500 is an abundant number, since it is smaller than the sum of its proper divisors (96098620).

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

76284500 is a wasteful number, since it uses less digits than its factorization.

76284500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5309 (or 5297 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 76284500 is about 8734.0998391363. The cubic root of 76284500 is about 424.1102493058.

The spelling of 76284500 in words is "seventy-six million, two hundred eighty-four thousand, five hundred".