76500 has 72 divisors (see below), whose sum is σ = 255528. Its totient is φ = 19200.

The previous prime is 76493. The next prime is 76507. The reversal of 76500 is 567.

It is an interprime number because it is at equal distance from previous prime (76493) and next prime (76507).

It can be written as a sum of positive squares in 4 ways, for example, as 324 + 76176 = 18^2 + 276^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 5 and base 10.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76507) by changing a digit.

76500 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4492 + ... + 4508.

It is an arithmetic number, because the mean of its divisors is an integer number (3549).

2⁷⁶⁵⁰⁰ 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 76500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127764).

76500 is an abundant number, since it is smaller than the sum of its proper divisors (179028).

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

76500 is a wasteful number, since it uses less digits than its factorization.

76500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 76500 is about 276.5863337188. The cubic root of 76500 is about 42.4509237439.

It can be divided in two parts, 76 and 500, that added together give a square (576 = 24²).

The spelling of 76500 in words is "seventy-six thousand, five hundred".