78270133824 has 63 divisors (see below), whose sum is σ = 224366453857. Its totient is φ = 26087806464.

The previous prime is 78270133801. The next prime is 78270133829. The reversal of 78270133824 is 42833107287.

The square root of 78270133824 is 279768.

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

It can be written as a sum of positive squares in only one way, i.e., 57312360000 + 20957773824 = 239400^2 + 144768^2 .

It is a super-3 number, since 3×78270133824³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 78270133824.

It is not an unprimeable number, because it can be changed into a prime (78270133829) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6708604 + ... + 6720260.

Almost surely, 2^78270133824 is an apocalyptic number.

78270133824 is the 279768-th square number.

It is an amenable number.

78270133824 is an abundant number, since it is smaller than the sum of its proper divisors (146096320033).

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

78270133824 is an frugal number, since it uses more digits than its factorization.

78270133824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23332 (or 11662 counting only the distinct ones).

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

The spelling of 78270133824 in words is "seventy-eight billion, two hundred seventy million, one hundred thirty-three thousand, eight hundred twenty-four".