78122600 has 48 divisors (see below), whose sum is σ = 182800800. Its totient is φ = 31048640.

The previous prime is 78122593. The next prime is 78122621. The reversal of 78122600 is 622187.

It is a super-2 number, since 2×78122600² = 12206281261520000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78122600.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32231 + ... + 34569.

It is an arithmetic number, because the mean of its divisors is an integer number (3808350).

Almost surely, 2^78122600 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 78122600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91400400).

78122600 is an abundant number, since it is smaller than the sum of its proper divisors (104678200).

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

78122600 is a wasteful number, since it uses less digits than its factorization.

78122600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2522 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 78122600 is about 8838.6989992872. The cubic root of 78122600 is about 427.4896090859.

Adding to 78122600 its reverse (622187), we get a palindrome (78744787).

The spelling of 78122600 in words is "seventy-eight million, one hundred twenty-two thousand, six hundred".