7738720900 has 81 divisors (see below), whose sum is σ = 17761747941. Its totient is φ = 2926234080.

The previous prime is 7738720877. The next prime is 7738720937. The reversal of 7738720900 is 90278377.

The square root of 7738720900 is 87970.

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., 2785939524 + 4952781376 = 52782^2 + 70376^2 .

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 16714069 + ... + 16714531.

Almost surely, 2^7738720900 is an apocalyptic number.

7738720900 is the 87970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7738720900

7738720900 is an abundant number, since it is smaller than the sum of its proper divisors (10023027041).

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

7738720900 is a wasteful number, since it uses less digits than its factorization.

7738720900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 43.

The cubic root of 7738720900 is about 1977.9853074346.

The spelling of 7738720900 in words is "seven billion, seven hundred thirty-eight million, seven hundred twenty thousand, nine hundred".