77697000 has 192 divisors, whose sum is σ = 268304400. Its totient is φ = 20275200.

The previous prime is 77696897. The next prime is 77697007. The reversal of 77697000 is 79677.

It can be written as a sum of positive squares in 8 ways, for example, as 10404 + 77686596 = 102^2 + 8814^2 .

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

It is not an unprimeable number, because it can be changed into a prime (77697007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 800952 + ... + 801048.

Almost surely, 2^77697000 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 77697000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134152200).

77697000 is an abundant number, since it is smaller than the sum of its proper divisors (190607400).

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

77697000 is a wasteful number, since it uses less digits than its factorization.

77697000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 36.

The square root of 77697000 is about 8814.5901776543. The cubic root of 77697000 is about 426.7118957044.

The spelling of 77697000 in words is "seventy-seven million, six hundred ninety-seven thousand".