76420128000 has 288 divisors, whose sum is σ = 267195277440. Its totient is φ = 19305676800.

The previous prime is 76420127969. The next prime is 76420128007. The reversal of 76420128000 is 82102467.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76420128007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1803052 + ... + 1844948.

It is an arithmetic number, because the mean of its divisors is an integer number (927761380).

Almost surely, 2^76420128000 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 76420128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133597638720).

76420128000 is an abundant number, since it is smaller than the sum of its proper divisors (190775149440).

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

76420128000 is a wasteful number, since it uses less digits than its factorization.

76420128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41950 (or 41926 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 76420128000 in words is "seventy-six billion, four hundred twenty million, one hundred twenty-eight thousand".