78206238720 has 640 divisors, whose sum is σ = 287754223680. Its totient is φ = 20313538560.

The previous prime is 78206238709. The next prime is 78206238749. The reversal of 78206238720 is 2783260287.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×78206238720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 942243799 + ... + 942243881.

Almost surely, 2^78206238720 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 78206238720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143877111840).

78206238720 is an abundant number, since it is smaller than the sum of its proper divisors (209547984960).

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

78206238720 is an frugal number, since it uses more digits than its factorization.

78206238720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 78206238720 in words is "seventy-eight billion, two hundred six million, two hundred thirty-eight thousand, seven hundred twenty".