76738233600 has 1944 divisors, whose sum is σ = 354962593440. Its totient is φ = 16303472640.

The previous prime is 76738233589. The next prime is 76738233601. The reversal of 76738233600 is 633283767.

76738233600 is a `hidden beast` number, since 7 + 6 + 7 + 3 + 8 + 2 + 33 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76738233601) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1447891174 + ... + 1447891226.

Almost surely, 2^76738233600 is an apocalyptic number.

76738233600 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 76738233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177481296720).

76738233600 is an abundant number, since it is smaller than the sum of its proper divisors (278224359840).

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

76738233600 is a wasteful number, since it uses less digits than its factorization.

76738233600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 76738233600 in words is "seventy-six billion, seven hundred thirty-eight million, two hundred thirty-three thousand, six hundred".