77946 has 16 divisors (see below), whose sum is σ = 170208. Its totient is φ = 23600.

The previous prime is 77933. The next prime is 77951. The reversal of 77946 is 64977.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 525 + ... + 656.

It is an arithmetic number, because the mean of its divisors is an integer number (10638).

2⁷⁷⁹⁴⁶ is an apocalyptic number.

77946 is an abundant number, since it is smaller than the sum of its proper divisors (92262).

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 (85104).

77946 is a wasteful number, since it uses less digits than its factorization.

77946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197.

The product of its digits is 10584, while the sum is 33.

The square root of 77946 is about 279.1881086293. The cubic root of 77946 is about 42.7167245592.

It can be divided in two parts, 7794 and 6, that multiplied together give a palindrome (46764).

The spelling of 77946 in words is "seventy-seven thousand, nine hundred forty-six".