78320000 has 160 divisors (see below), whose sum is σ = 215087400. Its totient is φ = 28160000.

The previous prime is 78319999. The next prime is 78320017. The reversal of 78320000 is 2387.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×78320000² = 12268044800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 879956 + ... + 880044.

Almost surely, 2^78320000 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 78320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107543700).

78320000 is an abundant number, since it is smaller than the sum of its proper divisors (136767400).

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

78320000 is an equidigital number, since it uses as much as digits as its factorization.

78320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 78320000 is about 8849.8587559350. The cubic root of 78320000 is about 427.8493661541.

Adding to 78320000 its reverse (2387), we get a palindrome (78322387).

The spelling of 78320000 in words is "seventy-eight million, three hundred twenty thousand".