78458250816 has 189 divisors, whose sum is σ = 247422391489. Its totient is φ = 23752819200.

The previous prime is 78458250811. The next prime is 78458250839. The reversal of 78458250816 is 61805285487.

The square root of 78458250816 is 280104.

It is a perfect power (a square), and thus also a powerful number.

78458250816 is a `hidden beast` number, since 7 + 8 + 4 + 582 + 50 + 8 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51667108416 + 26791142400 = 227304^2 + 163680^2 .

It is a super-2 number, since 2×78458250816² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (78458250811) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 73946926 + ... + 73947986.

Almost surely, 2^78458250816 is an apocalyptic number.

78458250816 is the 280104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78458250816

78458250816 is an abundant number, since it is smaller than the sum of its proper divisors (168964140673).

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

78458250816 is a wasteful number, since it uses less digits than its factorization.

78458250816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 78458250816 in words is "seventy-eight billion, four hundred fifty-eight million, two hundred fifty thousand, eight hundred sixteen".