77886000 has 120 divisors (see below), whose sum is σ = 272092704. Its totient is φ = 20764800.

The previous prime is 77885989. The next prime is 77886001. The reversal of 77886000 is 68877.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 (77886001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15837 + ... + 20163.

Almost surely, 2^77886000 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 77886000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136046352).

77886000 is an abundant number, since it is smaller than the sum of its proper divisors (194206704).

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

77886000 is a wasteful number, since it uses less digits than its factorization.

77886000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4356 (or 4337 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 77886000 is about 8825.3045273237. The cubic root of 77886000 is about 427.0576115119.

The spelling of 77886000 in words is "seventy-seven million, eight hundred eighty-six thousand".