76451394293760 has 208 divisors, whose sum is σ = 245112891370560. Its totient is φ = 20345508986880.

The previous prime is 76451394293717. The next prime is 76451394293767. The reversal of 76451394293760 is 6739249315467.

It is a junction number, because it is equal to n+sod(n) for n = 76451394293691 and 76451394293700.

It is not an unprimeable number, because it can be changed into a prime (76451394293767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28899906 + ... + 31434174.

Almost surely, 2^{76451394293760} 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 76451394293760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122556445685280).

76451394293760 is an abundant number, since it is smaller than the sum of its proper divisors (168661497076800).

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

76451394293760 is a wasteful number, since it uses less digits than its factorization.

76451394293760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2534792 (or 2534770 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 66.

The spelling of 76451394293760 in words is "seventy-six trillion, four hundred fifty-one billion, three hundred ninety-four million, two hundred ninety-three thousand, seven hundred sixty".