76257080 has 64 divisors (see below), whose sum is σ = 176117760. Its totient is φ = 29708928.

The previous prime is 76257079. The next prime is 76257091. The reversal of 76257080 is 8075267.

It is a super-3 number, since 3×76257080³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 76257080.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 341849 + ... + 342071.

It is an arithmetic number, because the mean of its divisors is an integer number (2751840).

Almost surely, 2^76257080 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 76257080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88058880).

76257080 is an abundant number, since it is smaller than the sum of its proper divisors (99860680).

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

76257080 is a wasteful number, since it uses less digits than its factorization.

76257080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 76257080 is about 8732.5299884970. The cubic root of 76257080 is about 424.0594285989.

The spelling of 76257080 in words is "seventy-six million, two hundred fifty-seven thousand, eighty".