78200907228072 has 80 divisors (see below), whose sum is σ = 223167683461140. Its totient is φ = 25575139459584.

The previous prime is 78200907228071. The next prime is 78200907228131. The reversal of 78200907228072 is 27082270900287.

78200907228072 is a `hidden beast` number, since 7 + 8 + 200 + 90 + 7 + 2 + 280 + 72 = 666.

78200907228072 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 76526559218916 + 1674348009156 = 8747946^2 + 1293966^2 .

It is a super-2 number, since 2×78200907228072² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (78200907228071) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1138460113 + ... + 1138528800.

Almost surely, 2^{78200907228072} is an apocalyptic number.

78200907228072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

78200907228072 is an abundant number, since it is smaller than the sum of its proper divisors (144966776233068).

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

78200907228072 is a wasteful number, since it uses less digits than its factorization.

78200907228072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276988984 (or 2276988971 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 78200907228072 in words is "seventy-eight trillion, two hundred billion, nine hundred seven million, two hundred twenty-eight thousand, seventy-two".