78120000 has 420 divisors, whose sum is σ = 330094336. Its totient is φ = 17280000.

The previous prime is 78119957. The next prime is 78120011. The reversal of 78120000 is 2187.

It is a tau number, because it is divible by the number of its divisors (420).

It is a super-2 number, since 2×78120000² = 12205468800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2519985 + ... + 2520015.

Almost surely, 2^78120000 is an apocalyptic number.

78120000 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 78120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165047168).

78120000 is an abundant number, since it is smaller than the sum of its proper divisors (251974336).

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

78120000 is a wasteful number, since it uses less digits than its factorization.

78120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 78120000 is about 8838.5519175937. The cubic root of 78120000 is about 427.4848666029.

Adding to 78120000 its reverse (2187), we get a palindrome (78122187).

The spelling of 78120000 in words is "seventy-eight million, one hundred twenty thousand".