78040144 has 180 divisors, whose sum is σ = 206951040. Its totient is φ = 28304640.

The previous prime is 78040121. The next prime is 78040153. The reversal of 78040144 is 44104087.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2517409 + ... + 2517439.

It is an arithmetic number, because the mean of its divisors is an integer number (1149728).

Almost surely, 2^78040144 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 78040144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103475520).

78040144 is an abundant number, since it is smaller than the sum of its proper divisors (128910896).

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

78040144 is a wasteful number, since it uses less digits than its factorization.

78040144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 78040144 is about 8834.0332804444. The cubic root of 78040144 is about 427.3391554318.

The spelling of 78040144 in words is "seventy-eight million, forty thousand, one hundred forty-four".