778028160 has 512 divisors, whose sum is σ = 3144798720. Its totient is φ = 159252480.

The previous prime is 778028123. The next prime is 778028161. The reversal of 778028160 is 61820877.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (778028161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10657884 + ... + 10657956.

It is an arithmetic number, because the mean of its divisors is an integer number (6142185).

Almost surely, 2^778028160 is an apocalyptic number.

778028160 is a gapful number since it is divisible by the number (70) 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 778028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572399360).

778028160 is an abundant number, since it is smaller than the sum of its proper divisors (2366770560).

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

778028160 is a wasteful number, since it uses less digits than its factorization.

778028160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The square root of 778028160 is about 27893.1561498515. The cubic root of 778028160 is about 919.7400651918.

The spelling of 778028160 in words is "seven hundred seventy-eight million, twenty-eight thousand, one hundred sixty".