78100 has 36 divisors (see below), whose sum is σ = 187488. Its totient is φ = 28000.

The previous prime is 78079. The next prime is 78101. The reversal of 78100 is 187.

78100 = T₂₉ + T₃₀ + ... + T₇₈.

It is a super-2 number, since 2×78100² = 12199220000, which contains 22 as substring.

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1065 + ... + 1135.

It is an arithmetic number, because the mean of its divisors is an integer number (5208).

2⁷⁸¹⁰⁰ 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 78100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93744).

78100 is an abundant number, since it is smaller than the sum of its proper divisors (109388).

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

78100 is a wasteful number, since it uses less digits than its factorization.

78100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 78100 is about 279.4637722496. The cubic root of 78100 is about 42.7448382446.

Adding to 78100 its reverse (187), we get a palindrome (78287).

The spelling of 78100 in words is "seventy-eight thousand, one hundred".