78355232 has 48 divisors (see below), whose sum is σ = 158474232. Its totient is φ = 38123520.

The previous prime is 78355229. The next prime is 78355271. The reversal of 78355232 is 23255387.

It can be written as a sum of positive squares in 4 ways, for example, as 67831696 + 10523536 = 8236^2 + 3244^2 .

It is a super-2 number, since 2×78355232² = 12279084763547648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78355192 and 78355201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 267278 + ... + 267570.

Almost surely, 2^78355232 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 78355232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79237116).

78355232 is an abundant number, since it is smaller than the sum of its proper divisors (80119000).

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

78355232 is a wasteful number, since it uses less digits than its factorization.

78355232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 493 counting only the distinct ones).

The product of its digits is 50400, while the sum is 35.

The square root of 78355232 is about 8851.8490723690. The cubic root of 78355232 is about 427.9135120901.

It can be divided in two parts, 78355 and 232, that added together give a palindrome (78587).

The spelling of 78355232 in words is "seventy-eight million, three hundred fifty-five thousand, two hundred thirty-two".