76052360 has 64 divisors (see below), whose sum is σ = 176774400. Its totient is φ = 29433600.

The previous prime is 76052341. The next prime is 76052363. The reversal of 76052360 is 6325067.

76052360 = T₄₆₉ + T₄₇₀ + ... + T₈₂₃.

It is a super-2 number, since 2×76052360² = 11567922923139200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (76052363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173021 + ... + 173459.

It is an arithmetic number, because the mean of its divisors is an integer number (2762100).

Almost surely, 2^76052360 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 76052360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88387200).

76052360 is an abundant number, since it is smaller than the sum of its proper divisors (100722040).

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

76052360 is a wasteful number, since it uses less digits than its factorization.

76052360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 29.

The square root of 76052360 is about 8720.8004219796. The cubic root of 76052360 is about 423.6796114119.

The spelling of 76052360 in words is "seventy-six million, fifty-two thousand, three hundred sixty".