77737212 has 144 divisors (see below), whose sum is σ = 240226560. Its totient is φ = 21293280.

The previous prime is 77737199. The next prime is 77737213. The reversal of 77737212 is 21273777.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77737213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 726463 + ... + 726569.

It is an arithmetic number, because the mean of its divisors is an integer number (1668240).

Almost surely, 2^77737212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77737212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120113280).

77737212 is an abundant number, since it is smaller than the sum of its proper divisors (162489348).

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

77737212 is a wasteful number, since it uses less digits than its factorization.

77737212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 150 counting only the distinct ones).

The product of its digits is 28812, while the sum is 36.

The square root of 77737212 is about 8816.8708735016. The cubic root of 77737212 is about 426.7854977715.

The spelling of 77737212 in words is "seventy-seven million, seven hundred thirty-seven thousand, two hundred twelve".