76663440 has 360 divisors, whose sum is σ = 312589368. Its totient is φ = 16773120.

The previous prime is 76663409. The next prime is 76663459. The reversal of 76663440 is 4436667.

It can be written as a sum of positive squares in 4 ways, for example, as 1806336 + 74857104 = 1344^2 + 8652^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 = 76663395 and 76663404.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1446454 + ... + 1446506.

Almost surely, 2^76663440 is an apocalyptic number.

76663440 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 76663440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156294684).

76663440 is an abundant number, since it is smaller than the sum of its proper divisors (235925928).

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

76663440 is a wasteful number, since it uses less digits than its factorization.

76663440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 76663440 is about 8755.7661001194. The cubic root of 76663440 is about 424.8113395635.

The spelling of 76663440 in words is "seventy-six million, six hundred sixty-three thousand, four hundred forty".