78248872900 has 81 divisors (see below), whose sum is σ = 186713151373. Its totient is φ = 28442946400.

The previous prime is 78248872843. The next prime is 78248872903. The reversal of 78248872900 is 927884287.

The square root of 78248872900 is 279730.

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., 28169594244 + 50079278656 = 167838^2 + 223784^2 .

It is a super-2 number, since 2×78248872900² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (78248872903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30769029 + ... + 30771571.

Almost surely, 2^78248872900 is an apocalyptic number.

78248872900 is the 279730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78248872900

78248872900 is an abundant number, since it is smaller than the sum of its proper divisors (108464278473).

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

78248872900 is a wasteful number, since it uses less digits than its factorization.

78248872900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5122 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 55.

The spelling of 78248872900 in words is "seventy-eight billion, two hundred forty-eight million, eight hundred seventy-two thousand, nine hundred".