76839840 has 540 divisors, whose sum is σ = 346739778. Its totient is φ = 15966720.

The previous prime is 76839827. The next prime is 76839859. The reversal of 76839840 is 4893867.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 69155856 + 7683984 = 8316^2 + 2772^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×76839840² = 11808722022451200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 89 ways as a sum of consecutive naturals, for example, 6985435 + ... + 6985445.

Almost surely, 2^76839840 is an apocalyptic number.

76839840 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 76839840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173369889).

76839840 is an abundant number, since it is smaller than the sum of its proper divisors (269899938).

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

76839840 is a wasteful number, since it uses less digits than its factorization.

76839840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 28 counting only the distinct ones).

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

The square root of 76839840 is about 8765.8336739867. The cubic root of 76839840 is about 425.1369155183.

The spelling of 76839840 in words is "seventy-six million, eight hundred thirty-nine thousand, eight hundred forty".