768112632 has 240 divisors, whose sum is σ = 2651758560. Its totient is φ = 206406144.

The previous prime is 768112621. The next prime is 768112651. The reversal of 768112632 is 236211867.

768112632 is a `hidden beast` number, since 7 + 6 + 8 + 1 + 12 + 632 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 539073 + ... + 540495.

It is an arithmetic number, because the mean of its divisors is an integer number (11048994).

Almost surely, 2^768112632 is an apocalyptic number.

768112632 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 768112632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325879280).

768112632 is an abundant number, since it is smaller than the sum of its proper divisors (1883645928).

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

768112632 is a wasteful number, since it uses less digits than its factorization.

768112632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1452 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 768112632 is about 27714.8449752114. The cubic root of 768112632 is about 915.8161597205.

The spelling of 768112632 in words is "seven hundred sixty-eight million, one hundred twelve thousand, six hundred thirty-two".