77610540672 has 384 divisors, whose sum is σ = 262517448960. Its totient is φ = 21550104576.

The previous prime is 77610540661. The next prime is 77610540677. The reversal of 77610540672 is 27604501677.

77610540672 is a `hidden beast` number, since 7 + 76 + 105 + 406 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×77610540672³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (77610540677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48294493 + ... + 48296099.

It is an arithmetic number, because the mean of its divisors is an integer number (683639190).

Almost surely, 2^77610540672 is an apocalyptic number.

77610540672 is a gapful number since it is divisible by the number (72) 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 77610540672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131258724480).

77610540672 is an abundant number, since it is smaller than the sum of its proper divisors (184906908288).

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

77610540672 is a wasteful number, since it uses less digits than its factorization.

77610540672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 77610540672 in words is "seventy-seven billion, six hundred ten million, five hundred forty thousand, six hundred seventy-two".