7900006400 has 432 divisors, whose sum is σ = 23416782480. Its totient is φ = 2619801600.

The previous prime is 7900006391. The next prime is 7900006441. The reversal of 7900006400 is 46000097.

It is a super-2 number, since 2×7900006400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 7900006400.

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 35 ways as a sum of consecutive naturals, for example, 95180759 + ... + 95180841.

It is an arithmetic number, because the mean of its divisors is an integer number (54205515).

Almost surely, 2^7900006400 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 7900006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11708391240).

7900006400 is an abundant number, since it is smaller than the sum of its proper divisors (15516776080).

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

7900006400 is a wasteful number, since it uses less digits than its factorization.

7900006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 7900006400 is about 88881.9801759614. The cubic root of 7900006400 is about 1991.6322391144.

Adding to 7900006400 its reverse (46000097), we get a palindrome (7946006497).

The spelling of 7900006400 in words is "seven billion, nine hundred million, six thousand, four hundred".