778356480 has 144 divisors (see below), whose sum is σ = 2712011904. Its totient is φ = 188682240.

The previous prime is 778356479. The next prime is 778356499. The reversal of 778356480 is 84653877.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33027 + ... + 51453.

It is an arithmetic number, because the mean of its divisors is an integer number (18833416).

Almost surely, 2^778356480 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 778356480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356005952).

778356480 is an abundant number, since it is smaller than the sum of its proper divisors (1933655424).

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

778356480 is a wasteful number, since it uses less digits than its factorization.

778356480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18462 (or 18448 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The square root of 778356480 is about 27899.0408437279. The cubic root of 778356480 is about 919.8694206607.

The spelling of 778356480 in words is "seven hundred seventy-eight million, three hundred fifty-six thousand, four hundred eighty".