76777632 has 120 divisors (see below), whose sum is σ = 237837600. Its totient is φ = 24230016.

The previous prime is 76777621. The next prime is 76777633. The reversal of 76777632 is 23677767.

76777632 is a `hidden beast` number, since 7 + 6 + 7 + 7 + 7 + 632 = 666.

It is not an unprimeable number, because it can be changed into a prime (76777633) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48469 + ... + 50027.

It is an arithmetic number, because the mean of its divisors is an integer number (1981980).

Almost surely, 2^76777632 is an apocalyptic number.

76777632 is a gapful number since it is divisible by the number (72) 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 76777632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118918800).

76777632 is an abundant number, since it is smaller than the sum of its proper divisors (161059968).

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

76777632 is a wasteful number, since it uses less digits than its factorization.

76777632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1583 counting only the distinct ones).

The product of its digits is 518616, while the sum is 45.

The square root of 76777632 is about 8762.2846335873. The cubic root of 76777632 is about 425.0221570917.

The spelling of 76777632 in words is "seventy-six million, seven hundred seventy-seven thousand, six hundred thirty-two".