76387449600 has 864 divisors, whose sum is σ = 349282644480. Its totient is φ = 15869952000.

The previous prime is 76387449571. The next prime is 76387449601. The reversal of 76387449600 is 694478367.

It is a happy number.

76387449600 is a `hidden beast` number, since 7 + 63 + 87 + 449 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (76387449601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13302730 + ... + 13308470.

It is an arithmetic number, because the mean of its divisors is an integer number (404262320).

Almost surely, 2^76387449600 is an apocalyptic number.

76387449600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76387449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174641322240).

76387449600 is an abundant number, since it is smaller than the sum of its proper divisors (272895194880).

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

76387449600 is a wasteful number, since it uses less digits than its factorization.

76387449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5794 (or 5769 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 76387449600 in words is "seventy-six billion, three hundred eighty-seven million, four hundred forty-nine thousand, six hundred".