7965126400 has 324 divisors, whose sum is σ = 25029413640. Its totient is φ = 2481561600.

The previous prime is 7965126353. The next prime is 7965126431. The reversal of 7965126400 is 46215697.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3448446 + ... + 3450754.

Almost surely, 2^7965126400 is an apocalyptic number.

7965126400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7965126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12514706820).

7965126400 is an abundant number, since it is smaller than the sum of its proper divisors (17064287240).

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

7965126400 is a wasteful number, since it uses less digits than its factorization.

7965126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2360 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 7965126400 is about 89247.5568293049. The cubic root of 7965126400 is about 1997.0896336047.

The spelling of 7965126400 in words is "seven billion, nine hundred sixty-five million, one hundred twenty-six thousand, four hundred".