76405248 has 80 divisors (see below), whose sum is σ = 226205760. Its totient is φ = 25463808.

The previous prime is 76405243. The next prime is 76405279. The reversal of 76405248 is 84250467.

76405248 is a `hidden beast` number, since 7 + 6 + 405 + 248 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (76405243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11061 + ... + 16587.

It is an arithmetic number, because the mean of its divisors is an integer number (2827572).

Almost surely, 2^76405248 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 76405248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113102880).

76405248 is an abundant number, since it is smaller than the sum of its proper divisors (149800512).

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

76405248 is an equidigital number, since it uses as much as digits as its factorization.

76405248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5554 (or 5532 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 76405248 is about 8741.0095526775. The cubic root of 76405248 is about 424.3339009799. Note that the first 3 decimals are identical.

The spelling of 76405248 in words is "seventy-six million, four hundred five thousand, two hundred forty-eight".