7744006400 has 108 divisors (see below), whose sum is σ = 20642280372. Its totient is φ = 2859294720.

The previous prime is 7744006397. The next prime is 7744006411. The reversal of 7744006400 is 46004477.

It can be written as a sum of positive squares in 6 ways, for example, as 1989873664 + 5754132736 = 44608^2 + 75856^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36662 + ... + 129738.

Almost surely, 2^7744006400 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 7744006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10321140186).

7744006400 is an abundant number, since it is smaller than the sum of its proper divisors (12898273972).

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

7744006400 is a wasteful number, since it uses less digits than its factorization.

7744006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93116 (or 93097 counting only the distinct ones).

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

The square root of 7744006400 is about 88000.0363636289. The cubic root of 7744006400 is about 1978.4355223227.

It can be divided in two parts, 774400 and 6400, that multiplied together give a square (4956160000 = 70400²).

The spelling of 7744006400 in words is "seven billion, seven hundred forty-four million, six thousand, four hundred".