77325857280 has 1440 divisors, whose sum is σ = 343708358400. Its totient is φ = 16424239104.

The previous prime is 77325857249. The next prime is 77325857299. The reversal of 77325857280 is 8275852377.

77325857280 is a `hidden beast` number, since 7 + 7 + 32 + 585 + 7 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×77325857280³ (a number of 34 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 978808281 + ... + 978808359.

It is an arithmetic number, because the mean of its divisors is an integer number (238686360).

Almost surely, 2^77325857280 is an apocalyptic number.

77325857280 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 77325857280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171854179200).

77325857280 is an abundant number, since it is smaller than the sum of its proper divisors (266382501120).

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

77325857280 is a wasteful number, since it uses less digits than its factorization.

77325857280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 77325857280 in words is "seventy-seven billion, three hundred twenty-five million, eight hundred fifty-seven thousand, two hundred eighty".