76025313000 has 1152 divisors, whose sum is σ = 327714660000. Its totient is φ = 15753830400.

The previous prime is 76025312989. The next prime is 76025313059. The reversal of 76025313000 is 31352067.

It is a happy number.

76025313000 is a `hidden beast` number, since 7 + 602 + 53 + 1 + 3 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 38520342756 + 37504970244 = 196266^2 + 193662^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 510236926 + ... + 510237074.

Almost surely, 2^76025313000 is an apocalyptic number.

76025313000 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 76025313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163857330000).

76025313000 is an abundant number, since it is smaller than the sum of its proper divisors (251689347000).

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

76025313000 is a wasteful number, since it uses less digits than its factorization.

76025313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

Adding to 76025313000 its reverse (31352067), we get a palindrome (76056665067).

The spelling of 76025313000 in words is "seventy-six billion, twenty-five million, three hundred thirteen thousand".