77256006630000 has 400 divisors, whose sum is σ = 283893683141376. Its totient is φ = 17914434560000.

The previous prime is 77256006629981. The next prime is 77256006630001. The reversal of 77256006630000 is 3660065277.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77256006630001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2500672 + ... + 12679328.

Almost surely, 2^{77256006630000} 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 77256006630000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141946841570688).

77256006630000 is an abundant number, since it is smaller than the sum of its proper divisors (206637676511376).

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

77256006630000 is a wasteful number, since it uses less digits than its factorization.

77256006630000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10178722 (or 10178701 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 42.

Adding to 77256006630000 its reverse (3660065277), we get a palindrome (77259666695277).

The spelling of 77256006630000 in words is "seventy-seven trillion, two hundred fifty-six billion, six million, six hundred thirty thousand".