7792896 has 72 divisors (see below), whose sum is σ = 21175840. Its totient is φ = 2543616.

The previous prime is 7792891. The next prime is 7792913. The reversal of 7792896 is 6982977.

7792896 = T₂₅₁ + T₂₅₂ + ... + T₃₉₆.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (7792891) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55995 + ... + 56133.

Almost surely, 2^7792896 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 7792896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10587920).

7792896 is an abundant number, since it is smaller than the sum of its proper divisors (13382944).

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

7792896 is a wasteful number, since it uses less digits than its factorization.

7792896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 217 counting only the distinct ones).

The product of its digits is 381024, while the sum is 48.

The square root of 7792896 is about 2791.5758990219. The cubic root of 7792896 is about 198.2590222907.

The spelling of 7792896 in words is "seven million, seven hundred ninety-two thousand, eight hundred ninety-six".