7825977984 has 192 divisors, whose sum is σ = 23386698720. Its totient is φ = 2315765760.

The previous prime is 7825977977. The next prime is 7825977997. The reversal of 7825977984 is 4897795287.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×7825977984² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1995994 + ... + 1999910.

Almost surely, 2^7825977984 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 7825977984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11693349360).

7825977984 is an abundant number, since it is smaller than the sum of its proper divisors (15560720736).

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

7825977984 is a wasteful number, since it uses less digits than its factorization.

7825977984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3999 (or 3976 counting only the distinct ones).

The product of its digits is 71124480, while the sum is 66.

The square root of 7825977984 is about 88464.5577844596. The cubic root of 7825977984 is about 1985.3917242592.

The spelling of 7825977984 in words is "seven billion, eight hundred twenty-five million, nine hundred seventy-seven thousand, nine hundred eighty-four".