78270266880 has 480 divisors, whose sum is σ = 302023481760. Its totient is φ = 18600099840.

The previous prime is 78270266861. The next prime is 78270266881. The reversal of 78270266880 is 8866207287.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×78270266880² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78270266881) 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, 8681575 + ... + 8690585.

It is an arithmetic number, because the mean of its divisors is an integer number (629215587).

Almost surely, 2^78270266880 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 78270266880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151011740880).

78270266880 is an abundant number, since it is smaller than the sum of its proper divisors (223753214880).

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

78270266880 is a wasteful number, since it uses less digits than its factorization.

78270266880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9082 (or 9063 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 78270266880 in words is "seventy-eight billion, two hundred seventy million, two hundred sixty-six thousand, eight hundred eighty".