778438080 has 448 divisors, whose sum is σ = 3205032960. Its totient is φ = 174182400.

The previous prime is 778438061. The next prime is 778438081. The reversal of 778438080 is 80834877.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (778438081) 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, 3689175 + ... + 3689385.

Almost surely, 2^778438080 is an apocalyptic number.

778438080 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 778438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602516480).

778438080 is an abundant number, since it is smaller than the sum of its proper divisors (2426594880).

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

778438080 is a wasteful number, since it uses less digits than its factorization.

778438080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 778438080 is about 27900.5032212683. The cubic root of 778438080 is about 919.9015647676.

The spelling of 778438080 in words is "seven hundred seventy-eight million, four hundred thirty-eight thousand, eighty".