76006120400 has 120 divisors (see below), whose sum is σ = 210215444160. Its totient is φ = 25868897280.

The previous prime is 76006120391. The next prime is 76006120409. The reversal of 76006120400 is 402160067.

It is an interprime number because it is at equal distance from previous prime (76006120391) and next prime (76006120409).

It is a self number, because there is not a number n which added to its sum of digits gives 76006120400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76006120409) 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 23 ways as a sum of consecutive naturals, for example, 284531 + ... + 482669.

It is an arithmetic number, because the mean of its divisors is an integer number (1751795368).

Almost surely, 2^76006120400 is an apocalyptic number.

76006120400 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 76006120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105107722080).

76006120400 is an abundant number, since it is smaller than the sum of its proper divisors (134209323760).

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

76006120400 is a wasteful number, since it uses less digits than its factorization.

76006120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198301 (or 198290 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

Adding to 76006120400 its reverse (402160067), we get a palindrome (76408280467).

The spelling of 76006120400 in words is "seventy-six billion, six million, one hundred twenty thousand, four hundred".