778601376 has 288 divisors, whose sum is σ = 2699282880. Its totient is φ = 217631232.

The previous prime is 778601371. The next prime is 778601381. The reversal of 778601376 is 673106877.

It is a happy number.

778601376 is a `hidden beast` number, since 7 + 7 + 8 + 601 + 37 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (778601371) and next prime (778601381).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (778601371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2243635 + ... + 2243981.

It is an arithmetic number, because the mean of its divisors is an integer number (9372510).

Almost surely, 2^778601376 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 778601376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349641440).

778601376 is an abundant number, since it is smaller than the sum of its proper divisors (1920681504).

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

778601376 is a wasteful number, since it uses less digits than its factorization.

778601376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 778601376 is about 27903.4294666444. The cubic root of 778601376 is about 919.9658840531.

The spelling of 778601376 in words is "seven hundred seventy-eight million, six hundred one thousand, three hundred seventy-six".