7791690240 has 640 divisors, whose sum is σ = 30935520000. Its totient is φ = 1847328768.

The previous prime is 7791690239. The next prime is 7791690241. The reversal of 7791690240 is 420961977.

It is an interprime number because it is at equal distance from previous prime (7791690239) and next prime (7791690241).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×7791690240² (a number of 21 digits) contains 22 as substring.

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 (7791690241) 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, 22325586 + ... + 22325934.

It is an arithmetic number, because the mean of its divisors is an integer number (48336750).

Almost surely, 2^7791690240 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 7791690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15467760000).

7791690240 is an abundant number, since it is smaller than the sum of its proper divisors (23143829760).

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

7791690240 is a wasteful number, since it uses less digits than its factorization.

7791690240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 395 counting only the distinct ones).

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

The square root of 7791690240 is about 88270.5513747365. The cubic root of 7791690240 is about 1982.4879651883.

The spelling of 7791690240 in words is "seven billion, seven hundred ninety-one million, six hundred ninety thousand, two hundred forty".