78254213680 has 80 divisors (see below), whose sum is σ = 194050080000. Its totient is φ = 29245300736.

The previous prime is 78254213677. The next prime is 78254213683. The reversal of 78254213680 is 8631245287.

It is an interprime number because it is at equal distance from previous prime (78254213677) and next prime (78254213683).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×78254213680² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78254213680.

It is not an unprimeable number, because it can be changed into a prime (78254213683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23680 + ... + 396319.

It is an arithmetic number, because the mean of its divisors is an integer number (2425626000).

Almost surely, 2^78254213680 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 78254213680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97025040000).

78254213680 is an abundant number, since it is smaller than the sum of its proper divisors (115795866320).

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

78254213680 is a wasteful number, since it uses less digits than its factorization.

78254213680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420166 (or 420160 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 78254213680 in words is "seventy-eight billion, two hundred fifty-four million, two hundred thirteen thousand, six hundred eighty".