78237684100 has 81 divisors (see below), whose sum is σ = 172357351887. Its totient is φ = 30826279680.

The previous prime is 78237684073. The next prime is 78237684103. The reversal of 78237684100 is 148673287.

The square root of 78237684100 is 279710.

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 10833062724 + 67404621376 = 104082^2 + 259624^2 .

It is a super-2 number, since 2×78237684100² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (78237684103) 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, 232159132 + ... + 232159468.

Almost surely, 2^78237684100 is an apocalyptic number.

78237684100 is the 279710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78237684100

78237684100 is an abundant number, since it is smaller than the sum of its proper divisors (94119667787).

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

78237684100 is an equidigital number, since it uses as much as digits as its factorization.

78237684100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The spelling of 78237684100 in words is "seventy-eight billion, two hundred thirty-seven million, six hundred eighty-four thousand, one hundred".