73780 has 48 divisors (see below), whose sum is σ = 193536. Its totient is φ = 23040.

The previous prime is 73771. The next prime is 73783. The reversal of 73780 is 8737.

73780 = 5² + 6² + ... + 60².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2365 + ... + 2395.

It is an arithmetic number, because the mean of its divisors is an integer number (4032).

2⁷³⁷⁸⁰ is an apocalyptic number.

73780 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 73780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96768).

73780 is an abundant number, since it is smaller than the sum of its proper divisors (119756).

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

73780 is a wasteful number, since it uses less digits than its factorization.

73780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 73780 is about 271.6247411412. The cubic root of 73780 is about 41.9417181035.

The spelling of 73780 in words is "seventy-three thousand, seven hundred eighty".