7996262400 has 864 divisors, whose sum is σ = 34114691520. Its totient is φ = 1751777280.

The previous prime is 7996262387. The next prime is 7996262471. The reversal of 7996262400 is 42626997.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 119347167 + ... + 119347233.

Almost surely, 2^7996262400 is an apocalyptic number.

7996262400 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 7996262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17057345760).

7996262400 is an abundant number, since it is smaller than the sum of its proper divisors (26118429120).

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

7996262400 is a wasteful number, since it uses less digits than its factorization.

7996262400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 7996262400 is about 89421.8228398415. The cubic root of 7996262400 is about 1999.6884848150.

The spelling of 7996262400 in words is "seven billion, nine hundred ninety-six million, two hundred sixty-two thousand, four hundred".