76500840 has 256 divisors, whose sum is σ = 272160000. Its totient is φ = 17031168.

The previous prime is 76500797. The next prime is 76500857. The reversal of 76500840 is 4800567.

76500840 = T₂₅₉ + T₂₆₀ + ... + T₇₈₀.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 76500798 and 76500807.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 859516 + ... + 859604.

It is an arithmetic number, because the mean of its divisors is an integer number (1063125).

Almost surely, 2^76500840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76500840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136080000).

76500840 is an abundant number, since it is smaller than the sum of its proper divisors (195659160).

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

76500840 is a wasteful number, since it uses less digits than its factorization.

76500840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 76500840 is about 8746.4758617400. The cubic root of 76500840 is about 424.5107911924.

The spelling of 76500840 in words is "seventy-six million, five hundred thousand, eight hundred forty".