7892222400 has 252 divisors, whose sum is σ = 29019627000. Its totient is φ = 2031912960.

The previous prime is 7892222383. The next prime is 7892222419. The reversal of 7892222400 is 42222987.

It is a happy number.

It is a super-2 number, since 2×7892222400² (a number of 21 digits) contains 22 as substring.

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

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, 408151 + ... + 427049.

It is an arithmetic number, because the mean of its divisors is an integer number (115157250).

Almost surely, 2^7892222400 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 7892222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14509813500).

7892222400 is an abundant number, since it is smaller than the sum of its proper divisors (21127404600).

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

7892222400 is a wasteful number, since it uses less digits than its factorization.

7892222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18956 (or 18938 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7892222400 is about 88838.1809809273. The cubic root of 7892222400 is about 1990.9778953459.

The spelling of 7892222400 in words is "seven billion, eight hundred ninety-two million, two hundred twenty-two thousand, four hundred".