7422760400 has 120 divisors (see below), whose sum is σ = 20478525600. Its totient is φ = 2557094400.

The previous prime is 7422760393. The next prime is 7422760409. The reversal of 7422760400 is 40672247.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7422760409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39206 + ... + 127994.

It is an arithmetic number, because the mean of its divisors is an integer number (170654380).

Almost surely, 2^7422760400 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 7422760400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10239262800).

7422760400 is an abundant number, since it is smaller than the sum of its proper divisors (13055765200).

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

7422760400 is a wasteful number, since it uses less digits than its factorization.

7422760400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88837 (or 88826 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 32.

The square root of 7422760400 is about 86155.4432406914. The cubic root of 7422760400 is about 1950.6910020942.

The spelling of 7422760400 in words is "seven billion, four hundred twenty-two million, seven hundred sixty thousand, four hundred".