77139216 has 200 divisors, whose sum is σ = 278714304. Its totient is φ = 20010240.

The previous prime is 77139211. The next prime is 77139229. The reversal of 77139216 is 61293177.

It is a happy number.

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 (77139211) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 99406 + ... + 100178.

Almost surely, 2^77139216 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 77139216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139357152).

77139216 is an abundant number, since it is smaller than the sum of its proper divisors (201575088).

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

77139216 is a wasteful number, since it uses less digits than its factorization.

77139216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 796 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 77139216 is about 8782.8933729153. The cubic root of 77139216 is about 425.6883258840.

The spelling of 77139216 in words is "seventy-seven million, one hundred thirty-nine thousand, two hundred sixteen".