78057440 has 96 divisors (see below), whose sum is σ = 192671136. Its totient is φ = 29859840.

The previous prime is 78057439. The next prime is 78057467. The reversal of 78057440 is 4475087.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 78057440.

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 15 ways as a sum of consecutive naturals, for example, 478799 + ... + 478961.

It is an arithmetic number, because the mean of its divisors is an integer number (2006991).

Almost surely, 2^78057440 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 78057440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96335568).

78057440 is an abundant number, since it is smaller than the sum of its proper divisors (114613696).

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

78057440 is a wasteful number, since it uses less digits than its factorization.

78057440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 35.

The square root of 78057440 is about 8835.0121675072. The cubic root of 78057440 is about 427.3707234244.

The spelling of 78057440 in words is "seventy-eight million, fifty-seven thousand, four hundred forty".