778314480 has 320 divisors, whose sum is σ = 2729825280. Its totient is φ = 182476800.

The previous prime is 778314431. The next prime is 778314497. The reversal of 778314480 is 84413877.

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 63 ways as a sum of consecutive naturals, for example, 4299990 + ... + 4300170.

It is an arithmetic number, because the mean of its divisors is an integer number (8530704).

Almost surely, 2^778314480 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 778314480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364912640).

778314480 is an abundant number, since it is smaller than the sum of its proper divisors (1951510800).

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

778314480 is a wasteful number, since it uses less digits than its factorization.

778314480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 778314480 is about 27898.2881195245. The cubic root of 778314480 is about 919.8528750240.

The spelling of 778314480 in words is "seven hundred seventy-eight million, three hundred fourteen thousand, four hundred eighty".