76753731600 has 960 divisors, whose sum is σ = 347952729600. Its totient is φ = 15629967360.

The previous prime is 76753731559. The next prime is 76753731601. The reversal of 76753731600 is 613735767.

It is a happy number.

76753731600 is a `hidden beast` number, since 7 + 6 + 7 + 5 + 3 + 7 + 31 + 600 = 666.

It is a super-2 number, since 2×76753731600² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (76753731601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28499854 + ... + 28502546.

It is an arithmetic number, because the mean of its divisors is an integer number (362450760).

Almost surely, 2^76753731600 is an apocalyptic number.

76753731600 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 76753731600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173976364800).

76753731600 is an abundant number, since it is smaller than the sum of its proper divisors (271198998000).

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

76753731600 is a wasteful number, since it uses less digits than its factorization.

76753731600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 45.

The spelling of 76753731600 in words is "seventy-six billion, seven hundred fifty-three million, seven hundred thirty-one thousand, six hundred".