7877399040 has 720 divisors, whose sum is σ = 32859807552. Its totient is φ = 1773674496.

The previous prime is 7877399039. The next prime is 7877399051. The reversal of 7877399040 is 409937787.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 117573087 + ... + 117573153.

Almost surely, 2^7877399040 is an apocalyptic number.

7877399040 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 7877399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16429903776).

7877399040 is an abundant number, since it is smaller than the sum of its proper divisors (24982408512).

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

7877399040 is an frugal number, since it uses more digits than its factorization.

7877399040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The square root of 7877399040 is about 88754.7127762802. The cubic root of 7877399040 is about 1989.7306134342.

The spelling of 7877399040 in words is "seven billion, eight hundred seventy-seven million, three hundred ninety-nine thousand, forty".