76034756250 has 144 divisors (see below), whose sum is σ = 210942983160. Its totient is φ = 19780800000.

The previous prime is 76034756243. The next prime is 76034756261. The reversal of 76034756250 is 5265743067.

76034756250 is a `hidden beast` number, since 7 + 6 + 0 + 34 + 7 + 562 + 50 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 59960827161 + 16073929089 = 244869^2 + 126783^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 76034756196 and 76034756205.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2289766 + ... + 2322734.

Almost surely, 2^76034756250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76034756250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105471491580).

76034756250 is an abundant number, since it is smaller than the sum of its proper divisors (134908226910).

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

76034756250 is a wasteful number, since it uses less digits than its factorization.

76034756250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33043 (or 33020 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 76034756250 in words is "seventy-six billion, thirty-four million, seven hundred fifty-six thousand, two hundred fifty".