8034761040 has 320 divisors, whose sum is σ = 27358248960. Its totient is φ = 1943101440.

The previous prime is 8034761027. The next prime is 8034761041. The reversal of 8034761040 is 401674308.

It is a junction number, because it is equal to n+sod(n) for n = 8034760992 and 8034761010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8034761041) 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, 15973429 + ... + 15973931.

It is an arithmetic number, because the mean of its divisors is an integer number (85494528).

Almost surely, 2^8034761040 is an apocalyptic number.

8034761040 is a gapful number since it is divisible by the number (80) 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 8034761040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13679124480).

8034761040 is an abundant number, since it is smaller than the sum of its proper divisors (19323487920).

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

8034761040 is a wasteful number, since it uses less digits than its factorization.

8034761040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 8034761040 is about 89636.8285918238. The cubic root of 8034761040 is about 2002.8925678421.

The spelling of 8034761040 in words is "eight billion, thirty-four million, seven hundred sixty-one thousand, forty".