7940761920 has 672 divisors, whose sum is σ = 34482389760. Its totient is φ = 1632337920.

The previous prime is 7940761861. The next prime is 7940761921. The reversal of 7940761920 is 291670497.

7940761920 is a `hidden beast` number, since 7 + 9 + 4 + 0 + 7 + 619 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-4 number, since 4×7940761920⁴ (a number of 41 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7940761921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10744911 + ... + 10745649.

It is an arithmetic number, because the mean of its divisors is an integer number (51313080).

Almost surely, 2^7940761920 is an apocalyptic number.

7940761920 is a gapful number since it is divisible by the number (70) 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 7940761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17241194880).

7940761920 is an abundant number, since it is smaller than the sum of its proper divisors (26541627840).

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

7940761920 is a wasteful number, since it uses less digits than its factorization.

7940761920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 7940761920 is about 89110.9528621482. The cubic root of 7940761920 is about 1995.0512584113.

The spelling of 7940761920 in words is "seven billion, nine hundred forty million, seven hundred sixty-one thousand, nine hundred twenty".