78460032 has 192 divisors, whose sum is σ = 255522240. Its totient is φ = 20889600.

The previous prime is 78460027. The next prime is 78460043. The reversal of 78460032 is 23006487.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 776782 + ... + 776882.

It is an arithmetic number, because the mean of its divisors is an integer number (1330845).

Almost surely, 2^78460032 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 78460032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127761120).

78460032 is an abundant number, since it is smaller than the sum of its proper divisors (177062208).

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

78460032 is a wasteful number, since it uses less digits than its factorization.

78460032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 78460032 is about 8857.7667614360. The cubic root of 78460032 is about 428.1042049821.

The spelling of 78460032 in words is "seventy-eight million, four hundred sixty thousand, thirty-two".