78276406000 has 240 divisors, whose sum is σ = 213883899840. Its totient is φ = 27642700800.

The previous prime is 78276405997. The next prime is 78276406003. The reversal of 78276406000 is 60467287.

It is an interprime number because it is at equal distance from previous prime (78276405997) and next prime (78276406003).

It is a super-2 number, since 2×78276406000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78276406003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7768966 + ... + 7779034.

It is an arithmetic number, because the mean of its divisors is an integer number (891182916).

Almost surely, 2^78276406000 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 78276406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106941949920).

78276406000 is an abundant number, since it is smaller than the sum of its proper divisors (135607493840).

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

78276406000 is a wasteful number, since it uses less digits than its factorization.

78276406000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10141 (or 10112 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The spelling of 78276406000 in words is "seventy-eight billion, two hundred seventy-six million, four hundred six thousand".