78126000 has 160 divisors (see below), whose sum is σ = 261144000. Its totient is φ = 20070400.

The previous prime is 78125977. The next prime is 78126017. The reversal of 78126000 is 62187.

78126000 = T₃₅₁ + T₃₅₂ + ... + T₇₉₉.

It is a super-2 number, since 2×78126000² = 12207343752000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173776 + ... + 174224.

It is an arithmetic number, because the mean of its divisors is an integer number (1632150).

Almost surely, 2^78126000 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 78126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130572000).

78126000 is an abundant number, since it is smaller than the sum of its proper divisors (183018000).

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

78126000 is a wasteful number, since it uses less digits than its factorization.

78126000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 78126000 is about 8838.8913331933. The cubic root of 78126000 is about 427.4958106357.

Adding to 78126000 its reverse (62187), we get a palindrome (78188187).

The spelling of 78126000 in words is "seventy-eight million, one hundred twenty-six thousand".