777780000 has 360 divisors, whose sum is σ = 2878375500. Its totient is φ = 198912000.

The previous prime is 777779957. The next prime is 777780013. The reversal of 777780000 is 87777.

It can be written as a sum of positive squares in 10 ways, for example, as 172029456 + 605750544 = 13116^2 + 24612^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5219926 + ... + 5220074.

Almost surely, 2^777780000 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 777780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439187750).

777780000 is an abundant number, since it is smaller than the sum of its proper divisors (2100595500).

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

777780000 is a wasteful number, since it uses less digits than its factorization.

777780000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 19208, while the sum is 36.

The square root of 777780000 is about 27888.7073920610. The cubic root of 777780000 is about 919.6422679752.

The spelling of 777780000 in words is "seven hundred seventy-seven million, seven hundred eighty thousand".