73770 has 16 divisors (see below), whose sum is σ = 177120. Its totient is φ = 19664.

The previous prime is 73757. The next prime is 73771. The reversal of 73770 is 7737.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 73770.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 73770.

It is not an unprimeable number, because it can be changed into a prime (73771) 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 7 ways as a sum of consecutive naturals, for example, 1200 + ... + 1259.

It is an arithmetic number, because the mean of its divisors is an integer number (11070).

2⁷³⁷⁷⁰ is an apocalyptic number.

73770 is an abundant number, since it is smaller than the sum of its proper divisors (103350).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88560).

73770 is a wasteful number, since it uses less digits than its factorization.

73770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2469.

The product of its (nonzero) digits is 1029, while the sum is 24.

The square root of 73770 is about 271.6063327686. The cubic root of 73770 is about 41.9398231178.

The spelling of 73770 in words is "seventy-three thousand, seven hundred seventy", and thus it is an iban number.