76646400 has 144 divisors (see below), whose sum is σ = 253890000. Its totient is φ = 20398080.

The previous prime is 76646389. The next prime is 76646429. The reversal of 76646400 is 464667.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153351 + ... + 153849.

It is an arithmetic number, because the mean of its divisors is an integer number (1763125).

Almost surely, 2^76646400 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 76646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126945000).

76646400 is an abundant number, since it is smaller than the sum of its proper divisors (177243600).

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

76646400 is a wasteful number, since it uses less digits than its factorization.

76646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 76646400 is about 8754.7929729948. The cubic root of 76646400 is about 424.7798629273.

The spelling of 76646400 in words is "seventy-six million, six hundred forty-six thousand, four hundred".