764129848100 has 72 divisors (see below), whose sum is σ = 1680980071848. Its totient is φ = 301467340800.

The previous prime is 764129848099. The next prime is 764129848133. The reversal of 764129848100 is 1848921467.

It can be written as a sum of positive squares in 12 ways, for example, as 79244502016 + 684885346084 = 281504^2 + 827578^2 .

It is a super-2 number, since 2×764129848100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2707670 + ... + 2976530.

Almost surely, 2^764129848100 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 764129848100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840490035924).

764129848100 is an abundant number, since it is smaller than the sum of its proper divisors (916850223748).

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

764129848100 is a wasteful number, since it uses less digits than its factorization.

764129848100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269265 (or 269258 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 50.

The spelling of 764129848100 in words is "seven hundred sixty-four billion, one hundred twenty-nine million, eight hundred forty-eight thousand, one hundred".