78950144 has 72 divisors (see below), whose sum is σ = 194016480. Its totient is φ = 31223808.

The previous prime is 78950129. The next prime is 78950153. The reversal of 78950144 is 44105987.

It is a junction number, because it is equal to n+sod(n) for n = 78950098 and 78950107.

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 7 ways as a sum of consecutive naturals, for example, 21602 + ... + 24990.

Almost surely, 2^78950144 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 78950144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97008240).

78950144 is an abundant number, since it is smaller than the sum of its proper divisors (115066336).

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

78950144 is a wasteful number, since it uses less digits than its factorization.

78950144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3425 (or 3411 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 78950144 is about 8885.3893555657. The cubic root of 78950144 is about 428.9937603576.

The spelling of 78950144 in words is "seventy-eight million, nine hundred fifty thousand, one hundred forty-four".