76075776000 has 1152 divisors, whose sum is σ = 322885180800. Its totient is φ = 16868966400.

The previous prime is 76075775987. The next prime is 76075776011. The reversal of 76075776000 is 67757067.

It is a happy number.

76075776000 is a `hidden beast` number, since 76 + 0 + 7 + 577 + 6 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 854783956 + ... + 854784044.

It is an arithmetic number, because the mean of its divisors is an integer number (280282275).

Almost surely, 2^76075776000 is an apocalyptic number.

76075776000 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 76075776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161442590400).

76075776000 is an abundant number, since it is smaller than the sum of its proper divisors (246809404800).

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

76075776000 is a wasteful number, since it uses less digits than its factorization.

76075776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 432180, while the sum is 45.

The spelling of 76075776000 in words is "seventy-six billion, seventy-five million, seven hundred seventy-six thousand".