76754496000 has 1280 divisors, whose sum is σ = 329450913792. Its totient is φ = 15409152000.

The previous prime is 76754495971. The next prime is 76754496053. The reversal of 76754496000 is 69445767.

It is a tau number, because it is divible by the number of its divisors (1280).

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

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 127 ways as a sum of consecutive naturals, for example, 401855905 + ... + 401856095.

Almost surely, 2^76754496000 is an apocalyptic number.

76754496000 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 76754496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164725456896).

76754496000 is an abundant number, since it is smaller than the sum of its proper divisors (252696417792).

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

76754496000 is a wasteful number, since it uses less digits than its factorization.

76754496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 76754496000 in words is "seventy-six billion, seven hundred fifty-four million, four hundred ninety-six thousand".