78362707408128 has 432 divisors, whose sum is σ = 276979675400064. Its totient is φ = 20966608650240.

The previous prime is 78362707408127. The next prime is 78362707408133. The reversal of 78362707408128 is 82180470726387.

It is a happy number.

78362707408128 is a `hidden beast` number, since 7 + 8 + 36 + 2 + 70 + 7 + 408 + 128 = 666.

It is a super-2 number, since 2×78362707408128² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78362707408121) 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, 2407350 + ... + 12748362.

Almost surely, 2^{78362707408128} is an apocalyptic number.

78362707408128 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 78362707408128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138489837700032).

78362707408128 is an abundant number, since it is smaller than the sum of its proper divisors (198616967991936).

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

78362707408128 is a wasteful number, since it uses less digits than its factorization.

78362707408128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10341082 (or 10341065 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

The spelling of 78362707408128 in words is "seventy-eight trillion, three hundred sixty-two billion, seven hundred seven million, four hundred eight thousand, one hundred twenty-eight".