78127000 has 64 divisors (see below), whose sum is σ = 208952640. Its totient is φ = 26784000.

The previous prime is 78126977. The next prime is 78127039. The reversal of 78127000 is 72187.

It is a happy number.

It is a super-2 number, since 2×78127000² = 12207656258000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1420 + ... + 12580.

It is an arithmetic number, because the mean of its divisors is an integer number (3264885).

Almost surely, 2^78127000 is an apocalyptic number.

78127000 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 78127000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104476320).

78127000 is an abundant number, since it is smaller than the sum of its proper divisors (130825640).

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

78127000 is a wasteful number, since it uses less digits than its factorization.

78127000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11189 (or 11175 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 25.

The square root of 78127000 is about 8838.9479011928. The cubic root of 78127000 is about 427.4976345867.

Adding to 78127000 its reverse (72187), we get a palindrome (78199187).

The spelling of 78127000 in words is "seventy-eight million, one hundred twenty-seven thousand".