78692640 has 96 divisors (see below), whose sum is σ = 266970816. Its totient is φ = 19368960.

The previous prime is 78692597. The next prime is 78692657. The reversal of 78692640 is 4629687.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 78692592 and 78692601.

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, 66 + ... + 12545.

It is an arithmetic number, because the mean of its divisors is an integer number (2780946).

Almost surely, 2^78692640 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 78692640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133485408).

78692640 is an abundant number, since it is smaller than the sum of its proper divisors (188278176).

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

78692640 is a wasteful number, since it uses less digits than its factorization.

78692640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12642 (or 12634 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 78692640 is about 8870.8872160568. The cubic root of 78692640 is about 428.5268499664.

The spelling of 78692640 in words is "seventy-eight million, six hundred ninety-two thousand, six hundred forty".