778832406 has 96 divisors (see below), whose sum is σ = 1912135680. Its totient is φ = 226972800.

The previous prime is 778832357. The next prime is 778832423. The reversal of 778832406 is 604238877.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1368490 + ... + 1369058.

It is an arithmetic number, because the mean of its divisors is an integer number (19918080).

Almost surely, 2^778832406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 778832406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956067840).

778832406 is an abundant number, since it is smaller than the sum of its proper divisors (1133303274).

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

778832406 is a wasteful number, since it uses less digits than its factorization.

778832406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 778832406 is about 27907.5689733090. The cubic root of 778832406 is about 920.0568671528.

The spelling of 778832406 in words is "seven hundred seventy-eight million, eight hundred thirty-two thousand, four hundred six".