76490964900 has 405 divisors, whose sum is σ = 289094217489. Its totient is φ = 17443823040.

The previous prime is 76490964889. The next prime is 76490964923. The reversal of 76490964900 is 946909467.

The square root of 76490964900 is 276570.

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

76490964900 is a `hidden beast` number, since 7 + 6 + 490 + 9 + 64 + 90 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27536747364 + 48954217536 = 165942^2 + 221256^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a super-2 number, since 2×76490964900² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 174238881 + ... + 174239319.

Almost surely, 2^76490964900 is an apocalyptic number.

76490964900 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

76490964900 is the 276570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76490964900

76490964900 is an abundant number, since it is smaller than the sum of its proper divisors (212603252589).

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

76490964900 is a wasteful number, since it uses less digits than its factorization.

76490964900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 76490964900 in words is "seventy-six billion, four hundred ninety million, nine hundred sixty-four thousand, nine hundred".