77741100040 has 64 divisors (see below), whose sum is σ = 176059643760. Its totient is φ = 30893736960.

The previous prime is 77741100013. The next prime is 77741100049. The reversal of 77741100040 is 4000114777.

It can be written as a sum of positive squares in 8 ways, for example, as 14690894436 + 63050205604 = 121206^2 + 251098^2 .

It is a junction number, because it is equal to n+sod(n) for n = 77741099975 and 77741100011.

It is not an unprimeable number, because it can be changed into a prime (77741100049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8082274 + ... + 8091886.

Almost surely, 2^77741100040 is an apocalyptic number.

It is an amenable number.

77741100040 is an abundant number, since it is smaller than the sum of its proper divisors (98318543720).

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

77741100040 is a wasteful number, since it uses less digits than its factorization.

77741100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10922 (or 10918 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 31.

The spelling of 77741100040 in words is "seventy-seven billion, seven hundred forty-one million, one hundred thousand, forty".