78010944 has 112 divisors (see below), whose sum is σ = 230672640. Its totient is φ = 23063040.

The previous prime is 78010937. The next prime is 78010997. The reversal of 78010944 is 44901087.

It is a super-3 number, since 3×78010944³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90387 + ... + 91245.

Almost surely, 2^78010944 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 78010944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115336320).

78010944 is an abundant number, since it is smaller than the sum of its proper divisors (152661696).

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

78010944 is a wasteful number, since it uses less digits than its factorization.

78010944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 78010944 is about 8832.3804265894. The cubic root of 78010944 is about 427.2858501313.

The spelling of 78010944 in words is "seventy-eight million, ten thousand, nine hundred forty-four".