78637344772900 has 27 divisors (see below), whose sum is σ = 170643230588019. Its totient is φ = 31454902438080.

The previous prime is 78637344772823. The next prime is 78637344773003. The reversal of 78637344772900 is 927744373687.

The square root of 78637344772900 is 8867770.

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 22687064452836 + 55950280320064 = 4763094^2 + 7479992^2 .

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, 88234312 + ... + 89121088.

Almost surely, 2^{78637344772900} is an apocalyptic number.

78637344772900 is the 8867770-th square number.

It is an amenable number.

78637344772900 is an abundant number, since it is smaller than the sum of its proper divisors (92005885815119).

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

78637344772900 is an frugal number, since it uses more digits than its factorization.

78637344772900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773568 (or 886784 counting only the distinct ones).

The product of its (nonzero) digits is 298722816, while the sum is 67.

The spelling of 78637344772900 in words is "seventy-eight trillion, six hundred thirty-seven billion, three hundred forty-four million, seven hundred seventy-two thousand, nine hundred".