61770 has 32 divisors (see below), whose sum is σ = 155520. Its totient is φ = 15680.

The previous prime is 61757. The next prime is 61781. The reversal of 61770 is 7716.

61770 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

61770 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 15 ways as a sum of consecutive naturals, for example, 835 + ... + 905.

It is an arithmetic number, because the mean of its divisors is an integer number (4860).

2⁶¹⁷⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77760).

61770 is an abundant number, since it is smaller than the sum of its proper divisors (93750).

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

61770 is a wasteful number, since it uses less digits than its factorization.

61770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110.

The product of its (nonzero) digits is 294, while the sum is 21.

The square root of 61770 is about 248.5357117197. The cubic root of 61770 is about 39.5299137821.

The spelling of 61770 in words is "sixty-one thousand, seven hundred seventy".