7607761920 has 352 divisors, whose sum is σ = 29500381440. Its totient is φ = 1843937280.

The previous prime is 7607761913. The next prime is 7607761943. The reversal of 7607761920 is 291677067.

7607761920 is a `hidden beast` number, since 7 + 6 + 0 + 7 + 7 + 619 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1518139 + ... + 1523141.

Almost surely, 2^7607761920 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 7607761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14750190720).

7607761920 is an abundant number, since it is smaller than the sum of its proper divisors (21892619520).

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

7607761920 is a wasteful number, since it uses less digits than its factorization.

7607761920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5048 (or 5024 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 7607761920 is about 87222.4851744090. The cubic root of 7607761920 is about 1966.7642450228.

The spelling of 7607761920 in words is "seven billion, six hundred seven million, seven hundred sixty-one thousand, nine hundred twenty".