76400640 has 144 divisors (see below), whose sum is σ = 265110300. Its totient is φ = 20348928.

The previous prime is 76400633. The next prime is 76400659. The reversal of 76400640 is 4600467.

It can be written as a sum of positive squares in 2 ways, for example, as 76317696 + 82944 = 8736^2 + 288^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91746 + ... + 92574.

Almost surely, 2^76400640 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 76400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132555150).

76400640 is an abundant number, since it is smaller than the sum of its proper divisors (188709660).

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

76400640 is a wasteful number, since it uses less digits than its factorization.

76400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 76400640 is about 8740.7459635891. The cubic root of 76400640 is about 424.3253702834.

The spelling of 76400640 in words is "seventy-six million, four hundred thousand, six hundred forty".