78120210 has 96 divisors (see below), whose sum is σ = 229659840. Its totient is φ = 16910208.

The previous prime is 78120197. The next prime is 78120233. The reversal of 78120210 is 1202187.

It is a super-2 number, since 2×78120210² = 12205534420888200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26532 + ... + 29328.

It is an arithmetic number, because the mean of its divisors is an integer number (2392290).

Almost surely, 2^78120210 is an apocalyptic number.

78120210 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 78120210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114829920).

78120210 is an abundant number, since it is smaller than the sum of its proper divisors (151539630).

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

78120210 is a wasteful number, since it uses less digits than its factorization.

78120210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 2833 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 78120210 is about 8838.5637973598. The cubic root of 78120210 is about 427.4852496535.

Adding to 78120210 its reverse (1202187), we get a palindrome (79322397).

The spelling of 78120210 in words is "seventy-eight million, one hundred twenty thousand, two hundred ten".