76440 has 96 divisors (see below), whose sum is σ = 287280. Its totient is φ = 16128.

The previous prime is 76423. The next prime is 76441. The reversal of 76440 is 4467.

It is a hoax number, since the sum of its digits (21) 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 (21).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5874 + ... + 5886.

2⁷⁶⁴⁴⁰ is an apocalyptic number.

76440 is a gapful number since it is divisible by the number (70) 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 76440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143640).

76440 is an abundant number, since it is smaller than the sum of its proper divisors (210840).

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

76440 is a wasteful number, since it uses less digits than its factorization.

76440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 76440 is about 276.4778472138. The cubic root of 76440 is about 42.4398225604.

The spelling of 76440 in words is "seventy-six thousand, four hundred forty".