778303440 has 240 divisors, whose sum is σ = 2793428352. Its totient is φ = 193729536.

The previous prime is 778303411. The next prime is 778303457. The reversal of 778303440 is 44303877.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 778303395 and 778303404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 711534 + ... + 712626.

Almost surely, 2^778303440 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 778303440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396714176).

778303440 is an abundant number, since it is smaller than the sum of its proper divisors (2015124912).

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

778303440 is a wasteful number, since it uses less digits than its factorization.

778303440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 778303440 is about 27898.0902572201. The cubic root of 778303440 is about 919.8485257864.

The spelling of 778303440 in words is "seven hundred seventy-eight million, three hundred three thousand, four hundred forty".