76648000 has 224 divisors, whose sum is σ = 226332288. Its totient is φ = 25344000.

The previous prime is 76647997. The next prime is 76648007. The reversal of 76648000 is 84667.

76648000 = 1508² + 1509² + ... + 1540².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76648007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1143967 + ... + 1144033.

It is an arithmetic number, because the mean of its divisors is an integer number (1010412).

Almost surely, 2^76648000 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 76648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113166144).

76648000 is an abundant number, since it is smaller than the sum of its proper divisors (149684288).

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

76648000 is a wasteful number, since it uses less digits than its factorization.

76648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 76648000 is about 8754.8843510351. The cubic root of 76648000 is about 424.7828186785.

The spelling of 76648000 in words is "seventy-six million, six hundred forty-eight thousand".