78295500 has 144 divisors (see below), whose sum is σ = 250758144. Its totient is φ = 20563200.

The previous prime is 78295457. The next prime is 78295507. The reversal of 78295500 is 559287.

It is a super-2 number, since 2×78295500² = 12260370640500000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (78295507) 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 47 ways as a sum of consecutive naturals, for example, 571432 + ... + 571568.

It is an arithmetic number, because the mean of its divisors is an integer number (1741376).

Almost surely, 2^78295500 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 78295500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125379072).

78295500 is an abundant number, since it is smaller than the sum of its proper divisors (172462644).

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

78295500 is a wasteful number, since it uses less digits than its factorization.

78295500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 78295500 is about 8848.4744447843. The cubic root of 78295500 is about 427.8047483354.

The spelling of 78295500 in words is "seventy-eight million, two hundred ninety-five thousand, five hundred".