78024492 has 192 divisors, whose sum is σ = 264176640. Its totient is φ = 19325952.

The previous prime is 78024461. The next prime is 78024493. The reversal of 78024492 is 29442087.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78024493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166843 + ... + 167309.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 2^78024492 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 78024492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132088320).

78024492 is an abundant number, since it is smaller than the sum of its proper divisors (186152148).

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

78024492 is a wasteful number, since it uses less digits than its factorization.

78024492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 78024492 is about 8833.1473439539. The cubic root of 78024492 is about 427.3105839841.

The spelling of 78024492 in words is "seventy-eight million, twenty-four thousand, four hundred ninety-two".