78120250000 has 315 divisors, whose sum is σ = 209743194159. Its totient is φ = 28173600000.

The previous prime is 78120249989. The next prime is 78120250001. The reversal of 78120250000 is 5202187.

The square root of 78120250000 is 279500.

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

It can be written as a sum of positive squares in 10 ways, for example, as 36647742096 + 41472507904 = 191436^2 + 203648^2 .

It is a super-2 number, since 2×78120250000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (78120250001) by changing a digit.

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 62 ways as a sum of consecutive naturals, for example, 1816749979 + ... + 1816750021.

Almost surely, 2^78120250000 is an apocalyptic number.

78120250000 is the 279500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78120250000

78120250000 is an abundant number, since it is smaller than the sum of its proper divisors (131622944159).

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

78120250000 is an frugal number, since it uses more digits than its factorization.

78120250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

Multiplying 78120250000 by its sum of digits (25), we get a square (1953006250000 = 1397500²).

78120250000 divided by its sum of digits (25) gives a square (3124810000 = 55900²).

Adding to 78120250000 its reverse (5202187), we get a palindrome (78125452187).

The spelling of 78120250000 in words is "seventy-eight billion, one hundred twenty million, two hundred fifty thousand".