78338520 has 192 divisors, whose sum is σ = 288943200. Its totient is φ = 18247680.

The previous prime is 78338479. The next prime is 78338527. The reversal of 78338520 is 2583387.

It is a super-2 number, since 2×78338520² = 12273847431580800, which contains 22 as substring.

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 (78338527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88480 + ... + 89360.

Almost surely, 2^78338520 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 78338520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144471600).

78338520 is an abundant number, since it is smaller than the sum of its proper divisors (210604680).

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

78338520 is a wasteful number, since it uses less digits than its factorization.

78338520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 78338520 is about 8850.9050384692. The cubic root of 78338520 is about 427.8830874079.

The spelling of 78338520 in words is "seventy-eight million, three hundred thirty-eight thousand, five hundred twenty".