77668200 has 192 divisors, whose sum is σ = 281976000. Its totient is φ = 19595520.

The previous prime is 77668183. The next prime is 77668211. The reversal of 77668200 is 286677.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102222 + ... + 102978.

It is an arithmetic number, because the mean of its divisors is an integer number (1468625).

Almost surely, 2^77668200 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 77668200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140988000).

77668200 is an abundant number, since it is smaller than the sum of its proper divisors (204307800).

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

77668200 is a wasteful number, since it uses less digits than its factorization.

77668200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 786 counting only the distinct ones).

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

The square root of 77668200 is about 8812.9563711617. The cubic root of 77668200 is about 426.6591659923.

The spelling of 77668200 in words is "seventy-seven million, six hundred sixty-eight thousand, two hundred".