76283712000 has 240 divisors, whose sum is σ = 274761702072. Its totient is φ = 20342169600.

The previous prime is 76283711969. The next prime is 76283712007. The reversal of 76283712000 is 21738267.

76283712000 is a `hidden beast` number, since 7 + 628 + 3 + 7 + 1 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42185873664 + 34097838336 = 205392^2 + 184656^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (76283712007) 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 23 ways as a sum of consecutive naturals, for example, 509782 + ... + 642218.

Almost surely, 2^76283712000 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 76283712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137380851036).

76283712000 is an abundant number, since it is smaller than the sum of its proper divisors (198477990072).

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

76283712000 is a wasteful number, since it uses less digits than its factorization.

76283712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132476 (or 132447 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

It can be divided in two parts, 7628371 and 2000, that added together give a triangular number (7630371 = T₃₉₀₆).

The spelling of 76283712000 in words is "seventy-six billion, two hundred eighty-three million, seven hundred twelve thousand".