788896380141072 has 2880 divisors, whose sum is σ = 2875822185600000. Its totient is φ = 200539959459840.

The previous prime is 788896380141059. The next prime is 788896380141097. The reversal of 788896380141072 is 270141083698887.

788896380141072 is a `hidden beast` number, since 7 + 8 + 8 + 8 + 9 + 63 + 80 + 1 + 410 + 72 = 666.

It is a super-3 number, since 3×788896380141072³ (a number of 46 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 5294606578054 + ... + 5294606578202.

It is an arithmetic number, because the mean of its divisors is an integer number (998549370000).

Almost surely, 2^{788896380141072} is an apocalyptic number.

788896380141072 is a gapful number since it is divisible by the number (72) 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 788896380141072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437911092800000).

788896380141072 is an abundant number, since it is smaller than the sum of its proper divisors (2086925805458928).

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

788896380141072 is a wasteful number, since it uses less digits than its factorization.

788896380141072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 72.

The spelling of 788896380141072 in words is "seven hundred eighty-eight trillion, eight hundred ninety-six billion, three hundred eighty million, one hundred forty-one thousand, seventy-two".