7727396040 has 576 divisors, whose sum is σ = 32506306560. Its totient is φ = 1576350720.

The previous prime is 7727396021. The next prime is 7727396051. The reversal of 7727396040 is 406937277.

It is a happy number.

7727396040 is a `hidden beast` number, since 7 + 7 + 2 + 7 + 39 + 604 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7108377 + ... + 7109463.

It is an arithmetic number, because the mean of its divisors is an integer number (56434560).

Almost surely, 2^7727396040 is an apocalyptic number.

7727396040 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 7727396040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16253153280).

7727396040 is an abundant number, since it is smaller than the sum of its proper divisors (24778910520).

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

7727396040 is a wasteful number, since it uses less digits than its factorization.

7727396040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 7727396040 is about 87905.6086947812. The cubic root of 7727396040 is about 1977.0199738089.

The spelling of 7727396040 in words is "seven billion, seven hundred twenty-seven million, three hundred ninety-six thousand, forty".