76250052950400 has 1440 divisors, whose sum is σ = 344547372054600. Its totient is φ = 16511237406720.

The previous prime is 76250052950377. The next prime is 76250052950473. The reversal of 76250052950400 is 405925005267.

76250052950400 is a `hidden beast` number, since 7 + 6 + 2 + 500 + 52 + 9 + 50 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 241157212 + ... + 241473188.

Almost surely, 2^{76250052950400} is an apocalyptic number.

76250052950400 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 76250052950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172273686027300).

76250052950400 is an abundant number, since it is smaller than the sum of its proper divisors (268297319104200).

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

76250052950400 is a wasteful number, since it uses less digits than its factorization.

76250052950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316046 (or 316013 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

Adding to 76250052950400 its reverse (405925005267), we get a palindrome (76655977955667).

The spelling of 76250052950400 in words is "seventy-six trillion, two hundred fifty billion, fifty-two million, nine hundred fifty thousand, four hundred".