778442240 has 160 divisors (see below), whose sum is σ = 2043512064. Its totient is φ = 283115520.

The previous prime is 778442239. The next prime is 778442243. The reversal of 778442240 is 42244877.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 778442194 and 778442203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (778442243) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1348832 + ... + 1349408.

Almost surely, 2^778442240 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 778442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021756032).

778442240 is an abundant number, since it is smaller than the sum of its proper divisors (1265069824).

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

778442240 is a wasteful number, since it uses less digits than its factorization.

778442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 38.

The square root of 778442240 is about 27900.5777717953. The cubic root of 778442240 is about 919.9032034266.

The spelling of 778442240 in words is "seven hundred seventy-eight million, four hundred forty-two thousand, two hundred forty".