778734687360 has 1024 divisors, whose sum is σ = 3000582144000. Its totient is φ = 171601920000.

The previous prime is 778734687349. The next prime is 778734687371. The reversal of 778734687360 is 63786437877.

It is an interprime number because it is at equal distance from previous prime (778734687349) and next prime (778734687371).

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 778734687291 and 778734687300.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4077144865 + ... + 4077145055.

It is an arithmetic number, because the mean of its divisors is an integer number (2930256000).

Almost surely, 2^778734687360 is an apocalyptic number.

778734687360 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 778734687360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500291072000).

778734687360 is an abundant number, since it is smaller than the sum of its proper divisors (2221847456640).

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

778734687360 is a wasteful number, since it uses less digits than its factorization.

778734687360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 199148544, while the sum is 66.

The spelling of 778734687360 in words is "seven hundred seventy-eight billion, seven hundred thirty-four million, six hundred eighty-seven thousand, three hundred sixty".