782528040 has 576 divisors, whose sum is σ = 3226728960. Its totient is φ = 169827840.

The previous prime is 782528029. The next prime is 782528063. The reversal of 782528040 is 40825287.

It is a happy number.

It is a super-2 number, since 2×782528040² = 1224700266772483200, which contains 22 as substring.

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 = 782527986 and 782528004.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14764654 + ... + 14764706.

It is an arithmetic number, because the mean of its divisors is an integer number (5601960).

Almost surely, 2^782528040 is an apocalyptic number.

782528040 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 782528040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613364480).

782528040 is an abundant number, since it is smaller than the sum of its proper divisors (2444200920).

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

782528040 is a wasteful number, since it uses less digits than its factorization.

782528040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 782528040 is about 27973.7026508827. The cubic root of 782528040 is about 921.5098239405.

The spelling of 782528040 in words is "seven hundred eighty-two million, five hundred twenty-eight thousand, forty".