78238553760 has 288 divisors, whose sum is σ = 276140067840. Its totient is φ = 20159852544.

The previous prime is 78238553753. The next prime is 78238553791. The reversal of 78238553760 is 6735583287.

78238553760 is a `hidden beast` number, since 7 + 8 + 23 + 8 + 553 + 7 + 60 = 666.

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

It is a super-2 number, since 2×78238553760² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 78238553697 and 78238553706.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5339404 + ... + 5354036.

It is an arithmetic number, because the mean of its divisors is an integer number (958819680).

Almost surely, 2^78238553760 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 78238553760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138070033920).

78238553760 is an abundant number, since it is smaller than the sum of its proper divisors (197901514080).

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

78238553760 is a wasteful number, since it uses less digits than its factorization.

78238553760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14780 (or 14769 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 78238553760 in words is "seventy-eight billion, two hundred thirty-eight million, five hundred fifty-three thousand, seven hundred sixty".