76578048 has 108 divisors (see below), whose sum is σ = 229156928. Its totient is φ = 25505280.

The previous prime is 76578043. The next prime is 76578053. The reversal of 76578048 is 84087567.

76578048 is a `hidden beast` number, since 76 + 578 + 0 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (76578043) and next prime (76578053).

It is a tau number, because it is divible by the number of its divisors (108).

It is a junction number, because it is equal to n+sod(n) for n = 76577994 and 76578012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76578043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61593 + ... + 62823.

Almost surely, 2^76578048 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 76578048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114578464).

76578048 is an abundant number, since it is smaller than the sum of its proper divisors (152578880).

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

76578048 is an equidigital number, since it uses as much as digits as its factorization.

76578048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 76578048 is about 8750.8884120414. Note that the first 3 decimals coincide. The cubic root of 76578048 is about 424.6535548062.

The spelling of 76578048 in words is "seventy-six million, five hundred seventy-eight thousand, forty-eight".