78234624 has 132 divisors (see below), whose sum is σ = 243650316. Its totient is φ = 24035328.

The previous prime is 78234623. The next prime is 78234631. The reversal of 78234624 is 42643287.

78234624 is a `hidden beast` number, since 7 + 8 + 23 + 4 + 624 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14745600 + 63489024 = 3840^2 + 7968^2 .

It is a super-2 number, since 2×78234624² = 12241312784842752, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (78234623) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119482 + ... + 120134.

Almost surely, 2^78234624 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 78234624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121825158).

78234624 is an abundant number, since it is smaller than the sum of its proper divisors (165415692).

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

78234624 is a wasteful number, since it uses less digits than its factorization.

78234624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 671 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 78234624 is about 8845.0338608736. The cubic root of 78234624 is about 427.6938445823.

The spelling of 78234624 in words is "seventy-eight million, two hundred thirty-four thousand, six hundred twenty-four".