76453294800 has 240 divisors, whose sum is σ = 251641893888. Its totient is φ = 19830720000.

The previous prime is 76453294733. The next prime is 76453294817. The reversal of 76453294800 is 849235467.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 76453294800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12948649 + ... + 12954551.

Almost surely, 2^76453294800 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 76453294800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125820946944).

76453294800 is an abundant number, since it is smaller than the sum of its proper divisors (175188599088).

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

76453294800 is a wasteful number, since it uses less digits than its factorization.

76453294800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6218 (or 6207 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 76453294800 in words is "seventy-six billion, four hundred fifty-three million, two hundred ninety-four thousand, eight hundred".