778181040 has 640 divisors, whose sum is σ = 3419781120. Its totient is φ = 158257152.

The previous prime is 778181017. The next prime is 778181059. The reversal of 778181040 is 40181877.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 778180986 and 778181004.

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 127 ways as a sum of consecutive naturals, for example, 7272667 + ... + 7272773.

It is an arithmetic number, because the mean of its divisors is an integer number (5343408).

Almost surely, 2^778181040 is an apocalyptic number.

778181040 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 778181040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709890560).

778181040 is an abundant number, since it is smaller than the sum of its proper divisors (2641600080).

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

778181040 is a wasteful number, since it uses less digits than its factorization.

778181040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 778181040 is about 27895.8964724205. The cubic root of 778181040 is about 919.8003032225.

The spelling of 778181040 in words is "seven hundred seventy-eight million, one hundred eighty-one thousand, forty".