787612140 has 192 divisors, whose sum is σ = 2829496320. Its totient is φ = 178156800.

The previous prime is 787612129. The next prime is 787612141. The reversal of 787612140 is 41216787.

787612140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 787612095 and 787612104.

It is not an unprimeable number, because it can be changed into a prime (787612141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 380749 + ... + 382811.

It is an arithmetic number, because the mean of its divisors is an integer number (14736960).

Almost surely, 2^787612140 is an apocalyptic number.

787612140 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 787612140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414748160).

787612140 is an abundant number, since it is smaller than the sum of its proper divisors (2041884180).

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

787612140 is a wasteful number, since it uses less digits than its factorization.

787612140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2189 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 787612140 is about 28064.4283747238. The cubic root of 787612140 is about 923.5012065869.

The spelling of 787612140 in words is "seven hundred eighty-seven million, six hundred twelve thousand, one hundred forty".