7782836040 has 192 divisors, whose sum is σ = 29689320960. Its totient is φ = 1730833920.

The previous prime is 7782836021. The next prime is 7782836057. The reversal of 7782836040 is 406382877.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51505 + ... + 134975.

It is an arithmetic number, because the mean of its divisors is an integer number (154631880).

Almost surely, 2^7782836040 is an apocalyptic number.

7782836040 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 7782836040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14844660480).

7782836040 is an abundant number, since it is smaller than the sum of its proper divisors (21906484920).

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

7782836040 is a wasteful number, since it uses less digits than its factorization.

7782836040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83532 (or 83525 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 7782836040 is about 88220.3833589494. The cubic root of 7782836040 is about 1981.7367375941.

The spelling of 7782836040 in words is "seven billion, seven hundred eighty-two million, eight hundred thirty-six thousand, forty".