76878652900 has 243 divisors, whose sum is σ = 207039261009. Its totient is φ = 24701429760.

The previous prime is 76878652871. The next prime is 76878652909. The reversal of 76878652900 is 925687867.

The square root of 76878652900 is 277270.

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

It can be written as a sum of positive squares in 13 ways, for example, as 50849348004 + 26029304896 = 225498^2 + 161336^2 .

It is not an unprimeable number, because it can be changed into a prime (76878652909) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 329951184 + ... + 329951416.

Almost surely, 2^76878652900 is an apocalyptic number.

76878652900 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

76878652900 is the 277270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76878652900

76878652900 is an abundant number, since it is smaller than the sum of its proper divisors (130160608109).

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

76878652900 is a wasteful number, since it uses less digits than its factorization.

76878652900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 58.

The spelling of 76878652900 in words is "seventy-six billion, eight hundred seventy-eight million, six hundred fifty-two thousand, nine hundred".