76020469200 has 720 divisors, whose sum is σ = 298424788480. Its totient is φ = 17791488000.

The previous prime is 76020469199. The next prime is 76020469207. The reversal of 76020469200 is 296402067.

It is a happy number.

76020469200 is a `hidden beast` number, since 7 + 602 + 0 + 46 + 9 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×76020469200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76020469207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 88498371 + ... + 88499229.

Almost surely, 2^76020469200 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 76020469200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149212394240).

76020469200 is an abundant number, since it is smaller than the sum of its proper divisors (222404319280).

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

76020469200 is a wasteful number, since it uses less digits than its factorization.

76020469200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 76020469200 in words is "seventy-six billion, twenty million, four hundred sixty-nine thousand, two hundred".