76410209040 has 160 divisors (see below), whose sum is σ = 258585699456. Its totient is φ = 18510766080.

The previous prime is 76410209011. The next prime is 76410209129. The reversal of 76410209040 is 4090201467.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 76410208992 and 76410209010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4090602 + ... + 4109238.

Almost surely, 2^76410209040 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 76410209040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129292849728).

76410209040 is an abundant number, since it is smaller than the sum of its proper divisors (182175490416).

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

76410209040 is a wasteful number, since it uses less digits than its factorization.

76410209040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20217 (or 20211 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 76410209040 in words is "seventy-six billion, four hundred ten million, two hundred nine thousand, forty".