76541320396800 has 4608 divisors, whose sum is σ = 354958531200000. Its totient is φ = 16293439733760.

The previous prime is 76541320396789. The next prime is 76541320396811. The reversal of 76541320396800 is 869302314567.

76541320396800 is a `hidden beast` number, since 7 + 6 + 541 + 3 + 2 + 0 + 3 + 96 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (76541320396789) and next prime (76541320396811).

It is a tau number, because it is divible by the number of its divisors (4608).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1297310515171 + ... + 1297310515229.

It is an arithmetic number, because the mean of its divisors is an integer number (77030931250).

It is a 2-persistent number, because it is pandigital, and so is 2⋅76541320396800 = 153082640793600, but 3⋅76541320396800 = 229623961190400 is not.

Almost surely, 2^{76541320396800} is an apocalyptic number.

76541320396800 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 76541320396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177479265600000).

76541320396800 is an abundant number, since it is smaller than the sum of its proper divisors (278417210803200).

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

76541320396800 is an frugal number, since it uses more digits than its factorization.

76541320396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 76541320396800 in words is "seventy-six trillion, five hundred forty-one billion, three hundred twenty million, three hundred ninety-six thousand, eight hundred".