78208266240 has 624 divisors, whose sum is σ = 295385545728. Its totient is φ = 19025362944.

The previous prime is 78208266239. The next prime is 78208266251. The reversal of 78208266240 is 4266280287.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×78208266240² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 304312192 + ... + 304312448.

It is an arithmetic number, because the mean of its divisors is an integer number (473374272).

Almost surely, 2^78208266240 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 78208266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147692772864).

78208266240 is an abundant number, since it is smaller than the sum of its proper divisors (217177279488).

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

78208266240 is a wasteful number, since it uses less digits than its factorization.

78208266240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 78208266240 in words is "seventy-eight billion, two hundred eight million, two hundred sixty-six thousand, two hundred forty".