787415040 has 272 divisors, whose sum is σ = 2831133600. Its totient is φ = 207618048.

The previous prime is 787415009. The next prime is 787415053. The reversal of 787415040 is 40514787.

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 = 787414986 and 787415004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8847316 + ... + 8847404.

Almost surely, 2^787415040 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 787415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415566800).

787415040 is an abundant number, since it is smaller than the sum of its proper divisors (2043718560).

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

787415040 is an frugal number, since it uses more digits than its factorization.

787415040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 787415040 is about 28060.9165922997. The cubic root of 787415040 is about 923.4241647434.

The spelling of 787415040 in words is "seven hundred eighty-seven million, four hundred fifteen thousand, forty".