78629144 has 128 divisors (see below), whose sum is σ = 183859200. Its totient is φ = 31104000.

The previous prime is 78629119. The next prime is 78629191. The reversal of 78629144 is 44192687.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1917764 + ... + 1917804.

It is an arithmetic number, because the mean of its divisors is an integer number (1436400).

Almost surely, 2^78629144 is an apocalyptic number.

78629144 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78629144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91929600).

78629144 is an abundant number, since it is smaller than the sum of its proper divisors (105230056).

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

78629144 is a wasteful number, since it uses less digits than its factorization.

78629144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 141 counting only the distinct ones).

The product of its digits is 96768, while the sum is 41.

The square root of 78629144 is about 8867.3075958828. The cubic root of 78629144 is about 428.4115614950.

The spelling of 78629144 in words is "seventy-eight million, six hundred twenty-nine thousand, one hundred forty-four".