76480 has 28 divisors (see below), whose sum is σ = 182880. Its totient is φ = 30464.

The previous prime is 76471. The next prime is 76481. The reversal of 76480 is 8467.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76481) by changing a digit.

76480 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 3 ways as a sum of consecutive naturals, for example, 201 + ... + 439.

2⁷⁶⁴⁸⁰ is an apocalyptic number.

76480 is the 160-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91440).

76480 is an abundant number, since it is smaller than the sum of its proper divisors (106400).

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

76480 is a wasteful number, since it uses less digits than its factorization.

76480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 76480 is about 276.5501762791. The cubic root of 76480 is about 42.4472239945.

The spelling of 76480 in words is "seventy-six thousand, four hundred eighty".