76672440 has 256 divisors, whose sum is σ = 283852800. Its totient is φ = 18289152.

The previous prime is 76672381. The next prime is 76672441. The reversal of 76672440 is 4427667.

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 = 76672395 and 76672404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76672441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 603657 + ... + 603783.

It is an arithmetic number, because the mean of its divisors is an integer number (1108800).

Almost surely, 2^76672440 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 76672440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141926400).

76672440 is an abundant number, since it is smaller than the sum of its proper divisors (207180360).

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

76672440 is a wasteful number, since it uses less digits than its factorization.

76672440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 76672440 is about 8756.2800320684. The cubic root of 76672440 is about 424.8279626650.

The spelling of 76672440 in words is "seventy-six million, six hundred seventy-two thousand, four hundred forty".