77347116 has 192 divisors, whose sum is σ = 255467520. Its totient is φ = 19656000.

The previous prime is 77347099. The next prime is 77347117. The reversal of 77347116 is 61174377.

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 not an unprimeable number, because it can be changed into a prime (77347117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 590371 + ... + 590501.

It is an arithmetic number, because the mean of its divisors is an integer number (1330560).

Almost surely, 2^77347116 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 77347116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127733760).

77347116 is an abundant number, since it is smaller than the sum of its proper divisors (178120404).

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

77347116 is a wasteful number, since it uses less digits than its factorization.

77347116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 225 counting only the distinct ones).

The product of its digits is 24696, while the sum is 36.

The square root of 77347116 is about 8794.7209165499. The cubic root of 77347116 is about 426.0704108968.

The spelling of 77347116 in words is "seventy-seven million, three hundred forty-seven thousand, one hundred sixteen".