778152960 has 352 divisors, whose sum is σ = 2985017280. Its totient is φ = 191102976.

The previous prime is 778152953. The next prime is 778152989. The reversal of 778152960 is 69251877.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1796904 + ... + 1797336.

Almost surely, 2^778152960 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 778152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492508640).

778152960 is an abundant number, since it is smaller than the sum of its proper divisors (2206864320).

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

778152960 is a wasteful number, since it uses less digits than its factorization.

778152960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 778152960 is about 27895.3931680484. The cubic root of 778152960 is about 919.7892396859.

The spelling of 778152960 in words is "seven hundred seventy-eight million, one hundred fifty-two thousand, nine hundred sixty".