77880000 has 280 divisors, whose sum is σ = 285658560. Its totient is φ = 18560000.

The previous prime is 77879999. The next prime is 77880013. The reversal of 77880000 is 8877.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 77880000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1319971 + ... + 1320029.

Almost surely, 2^77880000 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 77880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142829280).

77880000 is an abundant number, since it is smaller than the sum of its proper divisors (207778560).

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

77880000 is a wasteful number, since it uses less digits than its factorization.

77880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 77880000 is about 8824.9645891641. The cubic root of 77880000 is about 427.0466450076.

Adding to 77880000 its reverse (8877), we get a palindrome (77888877).

The spelling of 77880000 in words is "seventy-seven million, eight hundred eighty thousand".