789980100 has 288 divisors, whose sum is σ = 2963143680. Its totient is φ = 157800960.

The previous prime is 789980083. The next prime is 789980129. The reversal of 789980100 is 1089987.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 517939 + ... + 519461.

Almost surely, 2^789980100 is an apocalyptic number.

789980100 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 789980100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481571840).

789980100 is an abundant number, since it is smaller than the sum of its proper divisors (2173163580).

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

789980100 is a wasteful number, since it uses less digits than its factorization.

789980100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 42.

The square root of 789980100 is about 28106.5846377677. The cubic root of 789980100 is about 924.4257843511.

The spelling of 789980100 in words is "seven hundred eighty-nine million, nine hundred eighty thousand, one hundred".