77327946 has 72 divisors (see below), whose sum is σ = 178555104. Its totient is φ = 25106760.

The previous prime is 77327941. The next prime is 77327947. The reversal of 77327946 is 64972377.

It is a happy number.

It is a super-2 number, since 2×77327946² = 11959222465157832, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (77327941) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 931621 + ... + 931703.

It is an arithmetic number, because the mean of its divisors is an integer number (2479932).

Almost surely, 2^77327946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77327946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89277552).

77327946 is an abundant number, since it is smaller than the sum of its proper divisors (101227158).

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

77327946 is an frugal number, since it uses more digits than its factorization.

77327946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 159 counting only the distinct ones).

The product of its digits is 444528, while the sum is 45.

The square root of 77327946 is about 8793.6309906659. The cubic root of 77327946 is about 426.0352083576.

The spelling of 77327946 in words is "seventy-seven million, three hundred twenty-seven thousand, nine hundred forty-six".