76144040 has 96 divisors (see below), whose sum is σ = 203332680. Its totient is φ = 25579008.

The previous prime is 76144031. The next prime is 76144049. The reversal of 76144040 is 4044167.

It is an interprime number because it is at equal distance from previous prime (76144031) and next prime (76144049).

It can be written as a sum of positive squares in 4 ways, for example, as 76073284 + 70756 = 8722^2 + 266^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76144049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103514 + ... + 104246.

Almost surely, 2^76144040 is an apocalyptic number.

76144040 is a gapful number since it is divisible by the number (70) 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 76144040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101666340).

76144040 is an abundant number, since it is smaller than the sum of its proper divisors (127188640).

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

76144040 is a wasteful number, since it uses less digits than its factorization.

76144040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 76144040 is about 8726.0552370473. The cubic root of 76144040 is about 423.8497895585.

The spelling of 76144040 in words is "seventy-six million, one hundred forty-four thousand, forty".