778898772288 has 1134 divisors, whose sum is σ = 2952777835098. Its totient is φ = 194567546880.

The previous prime is 778898772259. The next prime is 778898772307. The reversal of 778898772288 is 882277898877.

It can be written as a sum of positive squares in only one way, i.e., 539237611584 + 239661160704 = 734328^2 + 489552^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 16572314281 + ... + 16572314327.

Almost surely, 2^778898772288 is an apocalyptic number.

778898772288 is a gapful number since it is divisible by the number (78) 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 778898772288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476388917549).

778898772288 is an abundant number, since it is smaller than the sum of its proper divisors (2173879062810).

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

778898772288 is a wasteful number, since it uses less digits than its factorization.

778898772288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 103 counting only the distinct ones).

The product of its digits is 2832334848, while the sum is 81.

The spelling of 778898772288 in words is "seven hundred seventy-eight billion, eight hundred ninety-eight million, seven hundred seventy-two thousand, two hundred eighty-eight".