789450020100 has 243 divisors, whose sum is σ = 2879165637621. Its totient is φ = 180403070400.

The previous prime is 789450020087. The next prime is 789450020119. The reversal of 789450020100 is 1020054987.

The square root of 789450020100 is 888510.

It is a perfect power (a square), and thus also a powerful number.

789450020100 is a `hidden beast` number, since 7 + 89 + 450 + 0 + 20 + 100 = 666.

It can be written as a sum of positive squares in only one way, i.e., 284202007236 + 505248012864 = 533106^2 + 710808^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 186584985 + ... + 186589215.

Almost surely, 2^789450020100 is an apocalyptic number.

789450020100 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

789450020100 is the 888510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 789450020100

789450020100 is an abundant number, since it is smaller than the sum of its proper divisors (2089715617521).

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

789450020100 is a wasteful number, since it uses less digits than its factorization.

789450020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8496 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Multiplying 789450020100 by its sum of digits (36), we get a square (28420200723600 = 5331060²).

789450020100 divided by its sum of digits (36) gives a square (21929167225 = 148085²).

The spelling of 789450020100 in words is "seven hundred eighty-nine billion, four hundred fifty million, twenty thousand, one hundred".