76948000 has 48 divisors (see below), whose sum is σ = 189071064. Its totient is φ = 30777600.

The previous prime is 76947989. The next prime is 76948007. The reversal of 76948000 is 84967.

It can be written as a sum of positive squares in 4 ways, for example, as 9511056 + 67436944 = 3084^2 + 8212^2 .

It is not an unprimeable number, because it can be changed into a prime (76948007) 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, 5619 + ... + 13618.

Almost surely, 2^76948000 is an apocalyptic number.

It is an amenable number.

76948000 is an abundant number, since it is smaller than the sum of its proper divisors (112123064).

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

76948000 is a wasteful number, since it uses less digits than its factorization.

76948000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19262 (or 19244 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 76948000 is about 8772.0009119927. Note that the first 3 decimals coincide. The cubic root of 76948000 is about 425.3362966833.

The spelling of 76948000 in words is "seventy-six million, nine hundred forty-eight thousand".