78210468 has 72 divisors (see below), whose sum is σ = 235888800. Its totient is φ = 22344336.

The previous prime is 78210437. The next prime is 78210481. The reversal of 78210468 is 86401287.

It is a super-2 number, since 2×78210468² = 12233754609558048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2098 + ... + 12681.

Almost surely, 2^78210468 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 78210468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117944400).

78210468 is an abundant number, since it is smaller than the sum of its proper divisors (157678332).

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

78210468 is a wasteful number, since it uses less digits than its factorization.

78210468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14806 (or 14791 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 78210468 is about 8843.6682434384. The cubic root of 78210468 is about 427.6498212949.

The spelling of 78210468 in words is "seventy-eight million, two hundred ten thousand, four hundred sixty-eight".