7981610400 has 360 divisors, whose sum is σ = 29903047020. Its totient is φ = 2070282240.

The previous prime is 7981610387. The next prime is 7981610407. The reversal of 7981610400 is 40161897.

7981610400 is a `hidden beast` number, since 7 + 98 + 161 + 0 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4231762704 + 3749847696 = 65052^2 + 61236^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×7981610400² (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 not an unprimeable number, because it can be changed into a prime (7981610407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2395936 + ... + 2399264.

Almost surely, 2^7981610400 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 7981610400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14951523510).

7981610400 is an abundant number, since it is smaller than the sum of its proper divisors (21921436620).

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

7981610400 is a wasteful number, since it uses less digits than its factorization.

7981610400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3398 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 7981610400 is about 89339.8589656375. The cubic root of 7981610400 is about 1998.4663576044.

It can be divided in two parts, 7981610 and 400, that added together give a triangular number (7982010 = T₃₉₉₅).

The spelling of 7981610400 in words is "seven billion, nine hundred eighty-one million, six hundred ten thousand, four hundred".