78462144 has 84 divisors (see below), whose sum is σ = 226451160. Its totient is φ = 25973760.

The previous prime is 78462127. The next prime is 78462179. The reversal of 78462144 is 44126487.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 78462099 and 78462108.

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, 102724 + ... + 103484.

Almost surely, 2^78462144 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 78462144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113225580).

78462144 is an abundant number, since it is smaller than the sum of its proper divisors (147989016).

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

78462144 is a wasteful number, since it uses less digits than its factorization.

78462144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 945 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 78462144 is about 8857.8859780424. The cubic root of 78462144 is about 428.1080462074.

It can be divided in two parts, 78462 and 144, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 78462144 in words is "seventy-eight million, four hundred sixty-two thousand, one hundred forty-four".