78126832 has 80 divisors (see below), whose sum is σ = 188291520. Its totient is φ = 30633984.

The previous prime is 78126827. The next prime is 78126847. The reversal of 78126832 is 23862187.

It is a super-2 number, since 2×78126832² = 12207603756712448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 78126791 and 78126800.

It is a congruent number.

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, 69894 + ... + 71002.

It is an arithmetic number, because the mean of its divisors is an integer number (2353644).

Almost surely, 2^78126832 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 78126832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94145760).

78126832 is an abundant number, since it is smaller than the sum of its proper divisors (110164688).

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

78126832 is a wasteful number, since it uses less digits than its factorization.

78126832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1172 counting only the distinct ones).

The product of its digits is 32256, while the sum is 37.

The square root of 78126832 is about 8838.9383977942. The cubic root of 78126832 is about 427.4973281641.

The spelling of 78126832 in words is "seventy-eight million, one hundred twenty-six thousand, eight hundred thirty-two".