78383200900 has 27 divisors (see below), whose sum is σ = 170097621519. Its totient is φ = 31352160480.

The previous prime is 78383200877. The next prime is 78383200933. The reversal of 78383200900 is 900238387.

It is a happy number.

The square root of 78383200900 is 279970.

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

It can be written as a sum of positive squares in 4 ways, for example, as 11430603396 + 66952597504 = 106914^2 + 258752^2 .

It is a super-2 number, since 2×78383200900² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2785702 + ... + 2813698.

Almost surely, 2^78383200900 is an apocalyptic number.

78383200900 is the 279970-th square number.

It is an amenable number.

78383200900 is an abundant number, since it is smaller than the sum of its proper divisors (91714420619).

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

78383200900 is an frugal number, since it uses more digits than its factorization.

78383200900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56008 (or 28004 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 78383200900 in words is "seventy-eight billion, three hundred eighty-three million, two hundred thousand, nine hundred".