76974300000 has 1440 divisors, whose sum is σ = 330150056544. Its totient is φ = 17418240000.

The previous prime is 76974299929. The next prime is 76974300001. The reversal of 76974300000 is 347967.

It is a tau number, because it is divible by the number of its divisors (1440).

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 (76974300001) 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, 1790099979 + ... + 1790100021.

Almost surely, 2^76974300000 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 76974300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165075028272).

76974300000 is an abundant number, since it is smaller than the sum of its proper divisors (253175756544).

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

76974300000 is a wasteful number, since it uses less digits than its factorization.

76974300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

Adding to 76974300000 its reverse (347967), we get a palindrome (76974647967).

The spelling of 76974300000 in words is "seventy-six billion, nine hundred seventy-four million, three hundred thousand".