776880000 has 480 divisors, whose sum is σ = 3044681640. Its totient is φ = 188928000.

The previous prime is 776879969. The next prime is 776880001. The reversal of 776880000 is 88677.

It is a happy number.

776880000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (776880001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9359959 + ... + 9360041.

Almost surely, 2^776880000 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 776880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522340820).

776880000 is an abundant number, since it is smaller than the sum of its proper divisors (2267801640).

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

776880000 is a wasteful number, since it uses less digits than its factorization.

776880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 106 counting only the distinct ones).

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

The square root of 776880000 is about 27872.5671584086. The cubic root of 776880000 is about 919.2874129206.

The spelling of 776880000 in words is "seven hundred seventy-six million, eight hundred eighty thousand".