7826098400 has 36 divisors (see below), whose sum is σ = 19105464672. Its totient is φ = 3130439040.

The previous prime is 7826098391. The next prime is 7826098421. The reversal of 7826098400 is 48906287.

It is a super-2 number, since 2×7826098400² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4890512 + ... + 4892111.

It is an arithmetic number, because the mean of its divisors is an integer number (530707352).

Almost surely, 2^7826098400 is an apocalyptic number.

It is an amenable number.

7826098400 is an abundant number, since it is smaller than the sum of its proper divisors (11279366272).

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

7826098400 is a wasteful number, since it uses less digits than its factorization.

7826098400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9782643 (or 9782630 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The square root of 7826098400 is about 88465.2383707861. The cubic root of 7826098400 is about 1985.4019070847.

The spelling of 7826098400 in words is "seven billion, eight hundred twenty-six million, ninety-eight thousand, four hundred".