7925990400 has 264 divisors, whose sum is σ = 29108995040. Its totient is φ = 2113413120.

The previous prime is 7925990327. The next prime is 7925990419. The reversal of 7925990400 is 40995297.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 685467 + ... + 696933.

Almost surely, 2^7925990400 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 7925990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14554497520).

7925990400 is an abundant number, since it is smaller than the sum of its proper divisors (21183004640).

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

7925990400 is a wasteful number, since it uses less digits than its factorization.

7925990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11506 (or 11477 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 7925990400 is about 89028.0315406333. The cubic root of 7925990400 is about 1993.8134161555.

The spelling of 7925990400 in words is "seven billion, nine hundred twenty-five million, nine hundred ninety thousand, four hundred".