76711440 has 160 divisors (see below), whose sum is σ = 267482880. Its totient is φ = 18044928.

The previous prime is 76711399. The next prime is 76711469. The reversal of 76711440 is 4411767.

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 = 76711398 and 76711407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71226 + ... + 72294.

It is an arithmetic number, because the mean of its divisors is an integer number (1671768).

Almost surely, 2^76711440 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 76711440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133741440).

76711440 is an abundant number, since it is smaller than the sum of its proper divisors (190771440).

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

76711440 is a wasteful number, since it uses less digits than its factorization.

76711440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 76711440 is about 8758.5067220389. The cubic root of 76711440 is about 424.8999810771.

The spelling of 76711440 in words is "seventy-six million, seven hundred eleven thousand, four hundred forty".