77541206040 has 160 divisors (see below), whose sum is σ = 260893908000. Its totient is φ = 20656290816.

The previous prime is 77541205997. The next prime is 77541206047. The reversal of 77541206040 is 4060214577.

77541206040 is a `hidden beast` number, since 7 + 7 + 5 + 41 + 2 + 0 + 604 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 77541205986 and 77541206004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77541206047) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3257301 + ... + 3281019.

It is an arithmetic number, because the mean of its divisors is an integer number (1630586925).

Almost surely, 2^77541206040 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 77541206040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130446954000).

77541206040 is an abundant number, since it is smaller than the sum of its proper divisors (183352701960).

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

77541206040 is a wasteful number, since it uses less digits than its factorization.

77541206040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24751 (or 24738 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 77541206040 in words is "seventy-seven billion, five hundred forty-one million, two hundred six thousand, forty".