78290100 has 324 divisors, whose sum is σ = 304848544. Its totient is φ = 16450560.

The previous prime is 78290099. The next prime is 78290141. The reversal of 78290100 is 109287.

It is a super-2 number, since 2×78290100² = 12258679516020000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1820679 + ... + 1820721.

Almost surely, 2^78290100 is an apocalyptic number.

78290100 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 78290100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152424272).

78290100 is an abundant number, since it is smaller than the sum of its proper divisors (226558444).

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

78290100 is a wasteful number, since it uses less digits than its factorization.

78290100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 78290100 is about 8848.1693021777. The cubic root of 78290100 is about 427.7949129522.

Adding to 78290100 its reverse (109287), we get a palindrome (78399387).

The spelling of 78290100 in words is "seventy-eight million, two hundred ninety thousand, one hundred".