778666900 has 72 divisors (see below), whose sum is σ = 1857131136. Its totient is φ = 281030400.

The previous prime is 778666877. The next prime is 778666913. The reversal of 778666900 is 9666877.

It is a super-2 number, since 2×778666900² = 1212644282311220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148117 + ... + 153283.

It is an arithmetic number, because the mean of its divisors is an integer number (25793488).

Almost surely, 2^778666900 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 778666900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928565568).

778666900 is an abundant number, since it is smaller than the sum of its proper divisors (1078464236).

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

778666900 is a wasteful number, since it uses less digits than its factorization.

778666900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5329 (or 5322 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 49.

The square root of 778666900 is about 27904.6035628532. The cubic root of 778666900 is about 919.9916902211.

The spelling of 778666900 in words is "seven hundred seventy-eight million, six hundred sixty-six thousand, nine hundred".