77027577081000 has 1536 divisors, whose sum is σ = 312436277637120. Its totient is φ = 15643901952000.

The previous prime is 77027577080983. The next prime is 77027577081053. The reversal of 77027577081000 is 18077572077.

It is a super-2 number, since 2×77027577081000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11433509632 + ... + 11433516368.

It is an arithmetic number, because the mean of its divisors is an integer number (203409034920).

Almost surely, 2^{77027577081000} is an apocalyptic number.

77027577081000 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 77027577081000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156218138818560).

77027577081000 is an abundant number, since it is smaller than the sum of its proper divisors (235408700556120).

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

77027577081000 is a wasteful number, since it uses less digits than its factorization.

77027577081000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7012 (or 6991 counting only the distinct ones).

The product of its (nonzero) digits is 1344560, while the sum is 51.

The spelling of 77027577081000 in words is "seventy-seven trillion, twenty-seven billion, five hundred seventy-seven million, eighty-one thousand".