78137020900 has 27 divisors (see below), whose sum is σ = 169563401371. Its totient is φ = 31253690240.

The previous prime is 78137020873. The next prime is 78137020901. The reversal of 78137020900 is 902073187.

The square root of 78137020900 is 279530.

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 21191789476 + 56945231424 = 145574^2 + 238632^2 .

It is a super-2 number, since 2×78137020900² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 78137020900.

It is not an unprimeable number, because it can be changed into a prime (78137020901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2781324 + ... + 2809276.

Almost surely, 2^78137020900 is an apocalyptic number.

78137020900 is the 279530-th square number.

It is an amenable number.

78137020900 is an abundant number, since it is smaller than the sum of its proper divisors (91426380471).

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

78137020900 is an frugal number, since it uses more digits than its factorization.

78137020900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55920 (or 27960 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The spelling of 78137020900 in words is "seventy-eight billion, one hundred thirty-seven million, twenty thousand, nine hundred".