78601428 has 120 divisors (see below), whose sum is σ = 216147624. Its totient is φ = 24883200.

The previous prime is 78601381. The next prime is 78601429. The reversal of 78601428 is 82410687.

78601428 is a `hidden beast` number, since 7 + 8 + 601 + 42 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3640464 + 74960964 = 1908^2 + 8658^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 78601392 and 78601401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78601429) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 810276 + ... + 810372.

Almost surely, 2^78601428 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 78601428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108073812).

78601428 is an abundant number, since it is smaller than the sum of its proper divisors (137546196).

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

78601428 is a wasteful number, since it uses less digits than its factorization.

78601428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 78601428 is about 8865.7446387768. The cubic root of 78601428 is about 428.3612186253.

The spelling of 78601428 in words is "seventy-eight million, six hundred one thousand, four hundred twenty-eight".