76496576000 has 160 divisors (see below), whose sum is σ = 205424227008. Its totient is φ = 28244582400.

The previous prime is 76496575957. The next prime is 76496576003. The reversal of 76496576000 is 67569467.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×76496576000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 76496576000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76496576003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 786029 + ... + 877971.

Almost surely, 2^76496576000 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 76496576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102712113504).

76496576000 is an abundant number, since it is smaller than the sum of its proper divisors (128927651008).

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

76496576000 is an equidigital number, since it uses as much as digits as its factorization.

76496576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91989 (or 91963 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 50.

The spelling of 76496576000 in words is "seventy-six billion, four hundred ninety-six million, five hundred seventy-six thousand".