76548864000 has 768 divisors, whose sum is σ = 301727462400. Its totient is φ = 16859136000.

The previous prime is 76548863987. The next prime is 76548864013. The reversal of 76548864000 is 46884567.

It is an interprime number because it is at equal distance from previous prime (76548863987) and next prime (76548864013).

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 155903755 + ... + 155904245.

It is an arithmetic number, because the mean of its divisors is an integer number (392874300).

Almost surely, 2^76548864000 is an apocalyptic number.

76548864000 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 76548864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150863731200).

76548864000 is an abundant number, since it is smaller than the sum of its proper divisors (225178598400).

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

76548864000 is a wasteful number, since it uses less digits than its factorization.

76548864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 76548864000 in words is "seventy-six billion, five hundred forty-eight million, eight hundred sixty-four thousand".