76233960000 has 1680 divisors, whose sum is σ = 332735090688. Its totient is φ = 17107200000.

The previous prime is 76233959993. The next prime is 76233960007. The reversal of 76233960000 is 6933267.

It is an interprime number because it is at equal distance from previous prime (76233959993) and next prime (76233960007).

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 (76233960007) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2459159985 + ... + 2459160015.

Almost surely, 2^76233960000 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 76233960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166367545344).

76233960000 is an abundant number, since it is smaller than the sum of its proper divisors (256501130688).

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

76233960000 is a wasteful number, since it uses less digits than its factorization.

76233960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 76233960000 in words is "seventy-six billion, two hundred thirty-three million, nine hundred sixty thousand".