747827152900 has 27 divisors (see below), whose sum is σ = 1622803687519. Its totient is φ = 299127402080.

The previous prime is 747827152873. The next prime is 747827152927. The reversal of 747827152900 is 9251728747.

The square root of 747827152900 is 864770.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (747827152873) and next prime (747827152927).

It can be written as a sum of positive squares in 4 ways, for example, as 382856512516 + 364970640384 = 618754^2 + 604128^2 .

It is a super-2 number, since 2×747827152900² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8604462 + ... + 8690938.

Almost surely, 2^747827152900 is an apocalyptic number.

747827152900 is the 864770-th square number.

It is an amenable number.

747827152900 is an abundant number, since it is smaller than the sum of its proper divisors (874976534619).

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

747827152900 is an frugal number, since it uses more digits than its factorization.

747827152900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172968 (or 86484 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 52.

The spelling of 747827152900 in words is "seven hundred forty-seven billion, eight hundred twenty-seven million, one hundred fifty-two thousand, nine hundred".