782072928 has 480 divisors, whose sum is σ = 2964578400. Its totient is φ = 199148544.

The previous prime is 782072911. The next prime is 782072939. The reversal of 782072928 is 829270287.

It is a happy number.

It is a super-2 number, since 2×782072928² = 1223276129420986368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26968018 + ... + 26968046.

It is an arithmetic number, because the mean of its divisors is an integer number (6176205).

Almost surely, 2^782072928 is an apocalyptic number.

782072928 is a gapful number since it is divisible by the number (78) 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 782072928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482289200).

782072928 is an abundant number, since it is smaller than the sum of its proper divisors (2182505472).

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

782072928 is a wasteful number, since it uses less digits than its factorization.

782072928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 782072928 is about 27965.5668277974. The cubic root of 782072928 is about 921.3311417342.

The spelling of 782072928 in words is "seven hundred eighty-two million, seventy-two thousand, nine hundred twenty-eight".