78161100 has 144 divisors (see below), whose sum is σ = 237401472. Its totient is φ = 19837440.

The previous prime is 78161089. The next prime is 78161101. The reversal of 78161100 is 116187.

It is a super-2 number, since 2×78161100² = 12218315106420000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78161101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 941659 + ... + 941741.

Almost surely, 2^78161100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78161100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118700736).

78161100 is an abundant number, since it is smaller than the sum of its proper divisors (159240372).

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

78161100 is a wasteful number, since it uses less digits than its factorization.

78161100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 24.

The square root of 78161100 is about 8840.8766533642. The cubic root of 78161100 is about 427.5598220036.

Adding to 78161100 its reverse (116187), we get a palindrome (78277287).

The spelling of 78161100 in words is "seventy-eight million, one hundred sixty-one thousand, one hundred".