78093952 has 64 divisors (see below), whose sum is σ = 165607200. Its totient is φ = 36578304.

The previous prime is 78093923. The next prime is 78093959. The reversal of 78093952 is 25939087.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 78093899 and 78093908.

It is not an unprimeable number, because it can be changed into a prime (78093959) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 396318 + ... + 396514.

Almost surely, 2^78093952 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 78093952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82803600).

78093952 is an abundant number, since it is smaller than the sum of its proper divisors (87513248).

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

78093952 is a wasteful number, since it uses less digits than its factorization.

78093952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The square root of 78093952 is about 8837.0782501911. The cubic root of 78093952 is about 427.4373484102.

The spelling of 78093952 in words is "seventy-eight million, ninety-three thousand, nine hundred fifty-two".