77122368 has 224 divisors, whose sum is σ = 249936000. Its totient is φ = 23514624.

The previous prime is 77122363. The next prime is 77122379. The reversal of 77122368 is 86322177.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77122363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2659378 + ... + 2659406.

Almost surely, 2^77122368 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 77122368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124968000).

77122368 is an abundant number, since it is smaller than the sum of its proper divisors (172813632).

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

77122368 is an equidigital number, since it uses as much as digits as its factorization.

77122368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 53 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 77122368 is about 8781.9341833106. The cubic root of 77122368 is about 425.6573320545.

The spelling of 77122368 in words is "seventy-seven million, one hundred twenty-two thousand, three hundred sixty-eight".