78067920 has 160 divisors (see below), whose sum is σ = 285696000. Its totient is φ = 17256960.

The previous prime is 78067901. The next prime is 78067933. The reversal of 78067920 is 2976087.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51331 + ... + 52829.

It is an arithmetic number, because the mean of its divisors is an integer number (1785600).

Almost surely, 2^78067920 is an apocalyptic number.

78067920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78067920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142848000).

78067920 is an abundant number, since it is smaller than the sum of its proper divisors (207628080).

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

78067920 is a wasteful number, since it uses less digits than its factorization.

78067920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 78067920 is about 8835.6052424268. The cubic root of 78067920 is about 427.3898488477.

It can be divided in two parts, 78067 and 920, that added together give a palindrome (78987).

The spelling of 78067920 in words is "seventy-eight million, sixty-seven thousand, nine hundred twenty".