7952774400 has 810 divisors, whose sum is σ = 31799064990. Its totient is φ = 1958584320.

The previous prime is 7952774399. The next prime is 7952774461. The reversal of 7952774400 is 44772597.

It can be written as a sum of positive squares in 3 ways, for example, as 537497856 + 7415276544 = 23184^2 + 86112^2 .

It is a tau number, because it is divible by the number of its divisors (810).

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 89 ways as a sum of consecutive naturals, for example, 274233586 + ... + 274233614.

Almost surely, 2^7952774400 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 7952774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15899532495).

7952774400 is an abundant number, since it is smaller than the sum of its proper divisors (23846290590).

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

7952774400 is a wasteful number, since it uses less digits than its factorization.

7952774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 7952774400 is about 89178.3292061474. The cubic root of 7952774400 is about 1996.0567638873.

The spelling of 7952774400 in words is "seven billion, nine hundred fifty-two million, seven hundred seventy-four thousand, four hundred".