776968500 has 432 divisors, whose sum is σ = 2966798016. Its totient is φ = 156240000.

The previous prime is 776968483. The next prime is 776968519. The reversal of 776968500 is 5869677.

It is a self number, because there is not a number n which added to its sum of digits gives 776968500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25063485 + ... + 25063515.

It is an arithmetic number, because the mean of its divisors is an integer number (6867588).

Almost surely, 2^776968500 is an apocalyptic number.

776968500 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 776968500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483399008).

776968500 is an abundant number, since it is smaller than the sum of its proper divisors (2189829516).

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

776968500 is a wasteful number, since it uses less digits than its factorization.

776968500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The square root of 776968500 is about 27874.1546957033. The cubic root of 776968500 is about 919.3223191468.

The spelling of 776968500 in words is "seven hundred seventy-six million, nine hundred sixty-eight thousand, five hundred".