76861440 has 208 divisors, whose sum is σ = 275217600. Its totient is φ = 20348928.

The previous prime is 76861439. The next prime is 76861451. The reversal of 76861440 is 4416867.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 76861395 and 76861404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 552891 + ... + 553029.

Almost surely, 2^76861440 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 76861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137608800).

76861440 is an abundant number, since it is smaller than the sum of its proper divisors (198356160).

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

76861440 is a wasteful number, since it uses less digits than its factorization.

76861440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 76861440 is about 8767.0656436461. The cubic root of 76861440 is about 425.1767477071.

The spelling of 76861440 in words is "seventy-six million, eight hundred sixty-one thousand, four hundred forty".