781126632 has 320 divisors, whose sum is σ = 2705640000. Its totient is φ = 206997120.

The previous prime is 781126631. The next prime is 781126639. The reversal of 781126632 is 236621187.

781126632 is a `hidden beast` number, since 7 + 8 + 1 + 12 + 6 + 632 = 666.

It is a super-2 number, since 2×781126632² = 1220317630439326848, which contains 22 as substring.

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

Its product of digits (24192) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (781126631) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41111919 + ... + 41111937.

It is an arithmetic number, because the mean of its divisors is an integer number (8455125).

Almost surely, 2^781126632 is an apocalyptic number.

781126632 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 781126632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352820000).

781126632 is an abundant number, since it is smaller than the sum of its proper divisors (1924513368).

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

781126632 is a wasteful number, since it uses less digits than its factorization.

781126632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 48 counting only the distinct ones).

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

The square root of 781126632 is about 27948.6427577441. The cubic root of 781126632 is about 920.9593930043.

Subtracting from 781126632 its reverse (236621187), we obtain a palindrome (544505445).

It can be divided in two parts, 7811 and 26632, that added together give a palindrome (34443).

The spelling of 781126632 in words is "seven hundred eighty-one million, one hundred twenty-six thousand, six hundred thirty-two".