76925280 has 96 divisors (see below), whose sum is σ = 248016384. Its totient is φ = 20030976.

The previous prime is 76925279. The next prime is 76925287. The reversal of 76925280 is 8252967.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76925287) 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, 18777 + ... + 22503.

It is an arithmetic number, because the mean of its divisors is an integer number (2583504).

Almost surely, 2^76925280 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 76925280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124008192).

76925280 is an abundant number, since it is smaller than the sum of its proper divisors (171091104).

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

76925280 is a wasteful number, since it uses less digits than its factorization.

76925280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3788 (or 3780 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 76925280 is about 8770.7057868794. The cubic root of 76925280 is about 425.2944303496.

The spelling of 76925280 in words is "seventy-six million, nine hundred twenty-five thousand, two hundred eighty".