78786624 has 168 divisors, whose sum is σ = 250204224. Its totient is φ = 21427200.

The previous prime is 78786623. The next prime is 78786629. The reversal of 78786624 is 42668787.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (78786623) 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, 1291554 + ... + 1291614.

Almost surely, 2^78786624 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 78786624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125102112).

78786624 is an abundant number, since it is smaller than the sum of its proper divisors (171417600).

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

78786624 is a wasteful number, since it uses less digits than its factorization.

78786624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 104 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The square root of 78786624 is about 8876.1829634139. The cubic root of 78786624 is about 428.6973811390.

The spelling of 78786624 in words is "seventy-eight million, seven hundred eighty-six thousand, six hundred twenty-four".