77137368 has 192 divisors, whose sum is σ = 251164800. Its totient is φ = 19514880.

The previous prime is 77137351. The next prime is 77137373. The reversal of 77137368 is 86373177.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 866668 + ... + 866756.

It is an arithmetic number, because the mean of its divisors is an integer number (1308150).

Almost surely, 2^77137368 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 77137368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125582400).

77137368 is an abundant number, since it is smaller than the sum of its proper divisors (174027432).

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

77137368 is a wasteful number, since it uses less digits than its factorization.

77137368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 179 counting only the distinct ones).

The product of its digits is 148176, while the sum is 42.

The square root of 77137368 is about 8782.7881677745. The cubic root of 77137368 is about 425.6849264963.

The spelling of 77137368 in words is "seventy-seven million, one hundred thirty-seven thousand, three hundred sixty-eight".