78119052 has 96 divisors (see below), whose sum is σ = 206271744. Its totient is φ = 22999680.

The previous prime is 78119033. The next prime is 78119059. The reversal of 78119052 is 25091187.

It is a super-2 number, since 2×78119052² = 12205172570757408, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (78119059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1070088 + ... + 1070160.

It is an arithmetic number, because the mean of its divisors is an integer number (2148664).

Almost surely, 2^78119052 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 78119052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103135872).

78119052 is an abundant number, since it is smaller than the sum of its proper divisors (128152692).

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

78119052 is a wasteful number, since it uses less digits than its factorization.

78119052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 78119052 is about 8838.4982887366. The cubic root of 78119052 is about 427.4831373944.

The spelling of 78119052 in words is "seventy-eight million, one hundred nineteen thousand, fifty-two".