778280832 has 256 divisors, whose sum is σ = 2679091200. Its totient is φ = 217810944.

The previous prime is 778280807. The next prime is 778280837. The reversal of 778280832 is 238082877.

778280832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×778280832² = 1211442106917224448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (778280837) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1281873 + ... + 1282479.

It is an arithmetic number, because the mean of its divisors is an integer number (10465200).

Almost surely, 2^778280832 is an apocalyptic number.

778280832 is a gapful number since it is divisible by the number (72) 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 778280832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339545600).

778280832 is an abundant number, since it is smaller than the sum of its proper divisors (1900810368).

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

778280832 is a wasteful number, since it uses less digits than its factorization.

778280832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 778280832 is about 27897.6850652523. The cubic root of 778280832 is about 919.8396191759.

The spelling of 778280832 in words is "seven hundred seventy-eight million, two hundred eighty thousand, eight hundred thirty-two".