76200842025 has 243 divisors, whose sum is σ = 175246057623. Its totient is φ = 31535380800.

The previous prime is 76200841993. The next prime is 76200842057. The reversal of 76200842025 is 52024800267.

The square root of 76200842025 is 276045.

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

76200842025 is a `hidden beast` number, since 7 + 6 + 200 + 8 + 420 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (76200841993) and next prime (76200842057).

It can be written as a sum of positive squares in only one way, i.e., 27432303129 + 48768538896 = 165627^2 + 220836^2 .

It is not a de Polignac number, because 76200842025 - 2⁵ = 76200841993 is a prime.

It is a super-2 number, since 2×76200842025² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 318831856 + ... + 318832094.

Almost surely, 2^76200842025 is an apocalyptic number.

76200842025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

76200842025 is the 276045-th square number.

76200842025 is the 138023-rd centered octagonal number.

It is an amenable number.

76200842025 is an abundant number, since it is smaller than the sum of its proper divisors (99045215598).

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

76200842025 is a wasteful number, since it uses less digits than its factorization.

76200842025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Multiplying 76200842025 by its sum of digits (36), we get a square (2743230312900 = 1656270²).

The spelling of 76200842025 in words is "seventy-six billion, two hundred million, eight hundred forty-two thousand, twenty-five".