76554097920 has 1152 divisors, whose sum is σ = 304107955200. Its totient is φ = 18393661440.

The previous prime is 76554097889. The next prime is 76554097967. The reversal of 76554097920 is 2979045567.

76554097920 is a `hidden beast` number, since 7 + 6 + 5 + 540 + 9 + 7 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 1867173100 + ... + 1867173140.

It is an arithmetic number, because the mean of its divisors is an integer number (263982600).

Almost surely, 2^76554097920 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 76554097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152053977600).

76554097920 is an abundant number, since it is smaller than the sum of its proper divisors (227553857280).

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

76554097920 is an equidigital number, since it uses as much as digits as its factorization.

76554097920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 76554097920 in words is "seventy-six billion, five hundred fifty-four million, ninety-seven thousand, nine hundred twenty".