76532040 has 320 divisors, whose sum is σ = 292723200. Its totient is φ = 17791488.

The previous prime is 76532033. The next prime is 76532041. The reversal of 76532040 is 4023567.

It is a happy number.

76532040 is a `hidden beast` number, since 7 + 653 + 2 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 76531995 and 76532013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76532041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 968721 + ... + 968799.

It is an arithmetic number, because the mean of its divisors is an integer number (914760).

Almost surely, 2^76532040 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 76532040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146361600).

76532040 is an abundant number, since it is smaller than the sum of its proper divisors (216191160).

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

76532040 is a wasteful number, since it uses less digits than its factorization.

76532040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 76532040 is about 8748.2592554176. The cubic root of 76532040 is about 424.5684939859.

The spelling of 76532040 in words is "seventy-six million, five hundred thirty-two thousand, forty".