7792276128 has 384 divisors, whose sum is σ = 27067944960. Its totient is φ = 1904394240.

The previous prime is 7792276127. The next prime is 7792276139. The reversal of 7792276128 is 8216722977.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (7792276127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10543983 + ... + 10544721.

It is an arithmetic number, because the mean of its divisors is an integer number (70489440).

Almost surely, 2^7792276128 is an apocalyptic number.

7792276128 is a gapful number since it is divisible by the number (78) 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 7792276128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13533972480).

7792276128 is an abundant number, since it is smaller than the sum of its proper divisors (19275668832).

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

7792276128 is a wasteful number, since it uses less digits than its factorization.

7792276128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 852 counting only the distinct ones).

The product of its digits is 1185408, while the sum is 51.

The square root of 7792276128 is about 88273.8700182563. The cubic root of 7792276128 is about 1982.5376543128.

The spelling of 7792276128 in words is "seven billion, seven hundred ninety-two million, two hundred seventy-six thousand, one hundred twenty-eight".