7976426400 has 576 divisors, whose sum is σ = 30133071360. Its totient is φ = 2060328960.

The previous prime is 7976426371. The next prime is 7976426407. The reversal of 7976426400 is 46246797.

It is a super-2 number, since 2×7976426400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7976426407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82231152 + ... + 82231248.

It is an arithmetic number, because the mean of its divisors is an integer number (52314360).

Almost surely, 2^7976426400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7976426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15066535680).

7976426400 is an abundant number, since it is smaller than the sum of its proper divisors (22156644960).

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

7976426400 is an equidigital number, since it uses as much as digits as its factorization.

7976426400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 7976426400 is about 89310.8414471614. The cubic root of 7976426400 is about 1998.0336006037.

The spelling of 7976426400 in words is "seven billion, nine hundred seventy-six million, four hundred twenty-six thousand, four hundred".