7921267200 has 1440 divisors, whose sum is σ = 37994711040. Its totient is φ = 1526169600.

The previous prime is 7921267177. The next prime is 7921267201. The reversal of 7921267200 is 27621297.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (7921267201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 168537577 + ... + 168537623.

It is an arithmetic number, because the mean of its divisors is an integer number (26385216).

Almost surely, 2^7921267200 is an apocalyptic number.

7921267200 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 7921267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18997355520).

7921267200 is an abundant number, since it is smaller than the sum of its proper divisors (30073443840).

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

7921267200 is a wasteful number, since it uses less digits than its factorization.

7921267200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 7921267200 is about 89001.5011109363. The cubic root of 7921267200 is about 1993.4172910751.

Adding to 7921267200 its reverse (27621297), we get a palindrome (7948888497).

It can be divided in two parts, 792 and 1267200, that multiplied together give a square (1003622400 = 31680²).

The spelling of 7921267200 in words is "seven billion, nine hundred twenty-one million, two hundred sixty-seven thousand, two hundred".