77408725548 has 192 divisors, whose sum is σ = 240319070208. Its totient is φ = 18773959680.

The previous prime is 77408725543. The next prime is 77408725579. The reversal of 77408725548 is 84552780477.

It is a super-2 number, since 2×77408725548² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (77408725543) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1975515 + ... + 2014317.

It is an arithmetic number, because the mean of its divisors is an integer number (1251661824).

Almost surely, 2^77408725548 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 77408725548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120159535104).

77408725548 is an abundant number, since it is smaller than the sum of its proper divisors (162910344660).

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

77408725548 is a wasteful number, since it uses less digits than its factorization.

77408725548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38972 (or 38970 counting only the distinct ones).

The product of its (nonzero) digits is 17561600, while the sum is 57.

The spelling of 77408725548 in words is "seventy-seven billion, four hundred eight million, seven hundred twenty-five thousand, five hundred forty-eight".