76103153424 has 225 divisors, whose sum is σ = 225411644997. Its totient is φ = 24788395008.

The previous prime is 76103153417. The next prime is 76103153437. The reversal of 76103153424 is 42435130167.

The square root of 76103153424 is 275868.

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

76103153424 is a `hidden beast` number, since 7 + 610 + 3 + 1 + 5 + 34 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34173219600 + 41929933824 = 184860^2 + 204768^2 .

It is a super-2 number, since 2×76103153424² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 784568544 + ... + 784568640.

Almost surely, 2^76103153424 is an apocalyptic number.

76103153424 is the 275868-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76103153424

76103153424 is an abundant number, since it is smaller than the sum of its proper divisors (149308491573).

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

76103153424 is an frugal number, since it uses more digits than its factorization.

76103153424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Multiplying 76103153424 by its sum of digits (36), we get a square (2739713523264 = 1655208²).

76103153424 divided by its sum of digits (36) gives a square (2113976484 = 45978²).

The spelling of 76103153424 in words is "seventy-six billion, one hundred three million, one hundred fifty-three thousand, four hundred twenty-four".