78273832 has 64 divisors (see below), whose sum is σ = 183052800. Its totient is φ = 30551040.

The previous prime is 78273827. The next prime is 78273841. The reversal of 78273832 is 23837287.

It is a super-3 number, since 3×78273832³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

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, 56832 + ... + 58192.

It is an arithmetic number, because the mean of its divisors is an integer number (2860200).

Almost surely, 2^78273832 is an apocalyptic number.

78273832 is the 4424-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78273832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91526400).

78273832 is an abundant number, since it is smaller than the sum of its proper divisors (104778968).

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

78273832 is a wasteful number, since it uses less digits than its factorization.

78273832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1462 counting only the distinct ones).

The product of its digits is 112896, while the sum is 40.

The square root of 78273832 is about 8847.2499682105. The cubic root of 78273832 is about 427.7652802156.

The spelling of 78273832 in words is "seventy-eight million, two hundred seventy-three thousand, eight hundred thirty-two".