775878400 has 216 divisors, whose sum is σ = 2135113344. Its totient is φ = 276787200.

The previous prime is 775878349. The next prime is 775878407. The reversal of 775878400 is 4878577.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (775878407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7251147 + ... + 7251253.

It is an arithmetic number, because the mean of its divisors is an integer number (9884784).

Almost surely, 2^775878400 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 775878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067556672).

775878400 is an abundant number, since it is smaller than the sum of its proper divisors (1359234944).

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

775878400 is a wasteful number, since it uses less digits than its factorization.

775878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 46.

The square root of 775878400 is about 27854.5938760557. The cubic root of 775878400 is about 918.8921763096.

The spelling of 775878400 in words is "seven hundred seventy-five million, eight hundred seventy-eight thousand, four hundred".