78395520 has 256 divisors, whose sum is σ = 301593600. Its totient is φ = 16920576.

The previous prime is 78395491. The next prime is 78395543. The reversal of 78395520 is 2559387.

78395520 = 861² + 862² + ... + 955².

It is a super-2 number, since 2×78395520² = 12291715112140800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255207 + ... + 255513.

It is an arithmetic number, because the mean of its divisors is an integer number (1178100).

Almost surely, 2^78395520 is an apocalyptic number.

78395520 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78395520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150796800).

78395520 is an abundant number, since it is smaller than the sum of its proper divisors (223198080).

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

78395520 is a wasteful number, since it uses less digits than its factorization.

78395520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 78395520 is about 8854.1244626445. The cubic root of 78395520 is about 427.9868397852.

The spelling of 78395520 in words is "seventy-eight million, three hundred ninety-five thousand, five hundred twenty".