78259146240 has 320 divisors, whose sum is σ = 276241819392. Its totient is φ = 18741657600.

The previous prime is 78259146239. The next prime is 78259146241. The reversal of 78259146240 is 4264195287.

It is an interprime number because it is at equal distance from previous prime (78259146239) and next prime (78259146241).

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×78259146240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 78259146240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78259146241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7006260 + ... + 7017420.

Almost surely, 2^78259146240 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 78259146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138120909696).

78259146240 is an abundant number, since it is smaller than the sum of its proper divisors (197982673152).

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

78259146240 is a wasteful number, since it uses less digits than its factorization.

78259146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11281 (or 11265 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 78259146240 in words is "seventy-eight billion, two hundred fifty-nine million, one hundred forty-six thousand, two hundred forty".