7746086040 has 384 divisors, whose sum is σ = 30915924480. Its totient is φ = 1514557440.

The previous prime is 7746086039. The next prime is 7746086059. The reversal of 7746086040 is 406806477.

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 = 7746085983 and 7746086001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1725639 + ... + 1730121.

It is an arithmetic number, because the mean of its divisors is an integer number (80510220).

Almost surely, 2^7746086040 is an apocalyptic number.

7746086040 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 7746086040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15457962240).

7746086040 is an abundant number, since it is smaller than the sum of its proper divisors (23169838440).

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

7746086040 is a wasteful number, since it uses less digits than its factorization.

7746086040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4543 (or 4528 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 7746086040 is about 88011.8517019157. The cubic root of 7746086040 is about 1978.6126083247.

The spelling of 7746086040 in words is "seven billion, seven hundred forty-six million, eighty-six thousand, forty".