78125320 has 128 divisors (see below), whose sum is σ = 219340800. Its totient is φ = 24530688.

The previous prime is 78125317. The next prime is 78125329. The reversal of 78125320 is 2352187.

It is a super-2 number, since 2×78125320² = 12207131250204800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (78125329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 615097 + ... + 615223.

It is an arithmetic number, because the mean of its divisors is an integer number (1713600).

Almost surely, 2^78125320 is an apocalyptic number.

78125320 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 78125320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109670400).

78125320 is an abundant number, since it is smaller than the sum of its proper divisors (141215480).

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

78125320 is a wasteful number, since it uses less digits than its factorization.

78125320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 78125320 is about 8838.8528667469. The cubic root of 78125320 is about 427.4945703402.

It can be divided in two parts, 78125 and 320, that multiplied together give a square (25000000 = 5000²).

The spelling of 78125320 in words is "seventy-eight million, one hundred twenty-five thousand, three hundred twenty".