77698144 has 48 divisors (see below), whose sum is σ = 164505600. Its totient is φ = 36008064.

The previous prime is 77698123. The next prime is 77698147. The reversal of 77698144 is 44189677.

It is a junction number, because it is equal to n+sod(n) for n = 77698094 and 77698103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77698147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27217 + ... + 29935.

It is an arithmetic number, because the mean of its divisors is an integer number (3427200).

Almost surely, 2^77698144 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 77698144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82252800).

77698144 is an abundant number, since it is smaller than the sum of its proper divisors (86807456).

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

77698144 is a wasteful number, since it uses less digits than its factorization.

77698144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2795 (or 2787 counting only the distinct ones).

The product of its digits is 338688, while the sum is 46.

The square root of 77698144 is about 8814.6550698255. The cubic root of 77698144 is about 426.7139899767.

The spelling of 77698144 in words is "seventy-seven million, six hundred ninety-eight thousand, one hundred forty-four".