8248779504 has 400 divisors, whose sum is σ = 28453345536. Its totient is φ = 2258150400.

The previous prime is 8248779481. The next prime is 8248779521. The reversal of 8248779504 is 4059778428.

It is a happy number.

It is a super-2 number, since 2×8248779504² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24920619 + ... + 24920949.

Almost surely, 2^8248779504 is an apocalyptic number.

8248779504 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8248779504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14226672768).

8248779504 is an abundant number, since it is smaller than the sum of its proper divisors (20204566032).

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

8248779504 is a wasteful number, since it uses less digits than its factorization.

8248779504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The square root of 8248779504 is about 90822.7917650630. The cubic root of 8248779504 is about 2020.5203626237.

The spelling of 8248779504 in words is "eight billion, two hundred forty-eight million, seven hundred seventy-nine thousand, five hundred four".