76839840000 has 2025 divisors, whose sum is σ = 366086573391. Its totient is φ = 15966720000.

The previous prime is 76839839981. The next prime is 76839840029. The reversal of 76839840000 is 4893867.

It is a happy number.

The square root of 76839840000 is 277200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 6024243456 + 70815596544 = 77616^2 + 266112^2 .

It is a tau number, because it is divible by the number of its divisors (2025).

It is a super-2 number, since 2×76839840000² (a number of 23 digits) contains 22 as substring.

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 224 ways as a sum of consecutive naturals, for example, 6985439995 + ... + 6985440005.

Almost surely, 2^76839840000 is an apocalyptic number.

76839840000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

76839840000 is the 277200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76839840000

76839840000 is an abundant number, since it is smaller than the sum of its proper divisors (289246733391).

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

76839840000 is an equidigital number, since it uses as much as digits as its factorization.

76839840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 76839840000 in words is "seventy-six billion, eight hundred thirty-nine million, eight hundred forty thousand".