78042096 has 120 divisors (see below), whose sum is σ = 246390480. Its totient is φ = 23633280.

The previous prime is 78042091. The next prime is 78042113. The reversal of 78042096 is 69024087.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 78042096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78042091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51526 + ... + 53018.

It is an arithmetic number, because the mean of its divisors is an integer number (2053254).

Almost surely, 2^78042096 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 78042096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123195240).

78042096 is an abundant number, since it is smaller than the sum of its proper divisors (168348384).

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

78042096 is a wasteful number, since it uses less digits than its factorization.

78042096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 78042096 is about 8834.1437615651. The cubic root of 78042096 is about 427.3427183804.

Subtracting from 78042096 its reverse (69024087), we obtain a square (9018009 = 3003²).

The spelling of 78042096 in words is "seventy-eight million, forty-two thousand, ninety-six".