76028026905600 has 4224 divisors, whose sum is σ = 350161972199424. Its totient is φ = 14057472000000.

The previous prime is 76028026905563. The next prime is 76028026905613. The reversal of 76028026905600 is 650962082067.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a super-2 number, since 2×76028026905600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 302900505475 + ... + 302900505725.

It is an arithmetic number, because the mean of its divisors is an integer number (82898194176).

Almost surely, 2^{76028026905600} is an apocalyptic number.

76028026905600 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 76028026905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175080986099712).

76028026905600 is an abundant number, since it is smaller than the sum of its proper divisors (274133945293824).

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

76028026905600 is a wasteful number, since it uses less digits than its factorization.

76028026905600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

Adding to 76028026905600 its reverse (650962082067), we get a palindrome (76678988987667).

The spelling of 76028026905600 in words is "seventy-six trillion, twenty-eight billion, twenty-six million, nine hundred five thousand, six hundred".