7816648400 has 180 divisors, whose sum is σ = 21357552300. Its totient is φ = 2743910400.

The previous prime is 7816648381. The next prime is 7816648471. The reversal of 7816648400 is 48466187.

It can be written as a sum of positive squares in 6 ways, for example, as 694638736 + 7122009664 = 26356^2 + 84392^2 .

It is a super-2 number, since 2×7816648400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 1400816 + ... + 1406384.

Almost surely, 2^7816648400 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 7816648400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10678776150).

7816648400 is an abundant number, since it is smaller than the sum of its proper divisors (13540903900).

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

7816648400 is a wasteful number, since it uses less digits than its factorization.

7816648400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5638 (or 5616 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 7816648400 is about 88411.8114281118. The cubic root of 7816648400 is about 1984.6024621230.

The spelling of 7816648400 in words is "seven billion, eight hundred sixteen million, six hundred forty-eight thousand, four hundred".