75768900480 has 768 divisors, whose sum is σ = 332476784640. Its totient is φ = 15467397120.

The previous prime is 75768900463. The next prime is 75768900481. The reversal of 75768900480 is 8400986757.

75768900480 is a `hidden beast` number, since 7 + 5 + 76 + 8 + 90 + 0 + 480 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75768900481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16246629 + ... + 16251291.

It is an arithmetic number, because the mean of its divisors is an integer number (432912480).

Almost surely, 2^75768900480 is an apocalyptic number.

75768900480 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 75768900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166238392320).

75768900480 is an abundant number, since it is smaller than the sum of its proper divisors (256707884160).

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

75768900480 is a wasteful number, since it uses less digits than its factorization.

75768900480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4739 (or 4724 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 75768900480 in words is "seventy-five billion, seven hundred sixty-eight million, nine hundred thousand, four hundred eighty".