8074379040 has 768 divisors, whose sum is σ = 33164328960. Its totient is φ = 1605795840.

The previous prime is 8074379039. The next prime is 8074379083. The reversal of 8074379040 is 409734708.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 8074378983 and 8074379001.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 90723316 + ... + 90723404.

It is an arithmetic number, because the mean of its divisors is an integer number (43182720).

Almost surely, 2^8074379040 is an apocalyptic number.

8074379040 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 8074379040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16582164480).

8074379040 is an abundant number, since it is smaller than the sum of its proper divisors (25089949920).

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

8074379040 is a wasteful number, since it uses less digits than its factorization.

8074379040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 8074379040 is about 89857.5485977667. The cubic root of 8074379040 is about 2006.1791427697.

The spelling of 8074379040 in words is "eight billion, seventy-four million, three hundred seventy-nine thousand, forty".