78357320 has 64 divisors (see below), whose sum is σ = 187557120. Its totient is φ = 29396224.

The previous prime is 78357317. The next prime is 78357329. The reversal of 78357320 is 2375387.

It is a super-2 number, since 2×78357320² = 12279739195164800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78357329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47957 + ... + 49563.

It is an arithmetic number, because the mean of its divisors is an integer number (2930580).

Almost surely, 2^78357320 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 78357320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93778560).

78357320 is an abundant number, since it is smaller than the sum of its proper divisors (109199800).

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

78357320 is a wasteful number, since it uses less digits than its factorization.

78357320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 78357320 is about 8851.9670130429. The cubic root of 78357320 is about 427.9173130508.

The spelling of 78357320 in words is "seventy-eight million, three hundred fifty-seven thousand, three hundred twenty".