7816253760 has 560 divisors, whose sum is σ = 33175017216. Its totient is φ = 1707982848.

The previous prime is 7816253741. The next prime is 7816253779. The reversal of 7816253760 is 673526187.

It is an interprime number because it is at equal distance from previous prime (7816253741) and next prime (7816253779).

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×7816253760² (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 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 79 ways as a sum of consecutive naturals, for example, 4172184 + ... + 4174056.

Almost surely, 2^7816253760 is an apocalyptic number.

7816253760 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 7816253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16587508608).

7816253760 is an abundant number, since it is smaller than the sum of its proper divisors (25358763456).

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

7816253760 is a wasteful number, since it uses less digits than its factorization.

7816253760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 7816253760 is about 88409.5795714469. The cubic root of 7816253760 is about 1984.5690626123.

The spelling of 7816253760 in words is "seven billion, eight hundred sixteen million, two hundred fifty-three thousand, seven hundred sixty".