762872040 has 512 divisors, whose sum is σ = 3151872000. Its totient is φ = 160247808.

The previous prime is 762872017. The next prime is 762872113. The reversal of 762872040 is 40278267.

762872040 is a `hidden beast` number, since 7 + 628 + 7 + 20 + 4 + 0 = 666.

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 = 762871986 and 762872004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6751024 + ... + 6751136.

It is an arithmetic number, because the mean of its divisors is an integer number (6156000).

Almost surely, 2^762872040 is an apocalyptic number.

762872040 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 762872040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575936000).

762872040 is an abundant number, since it is smaller than the sum of its proper divisors (2388999960).

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

762872040 is a wasteful number, since it uses less digits than its factorization.

762872040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 762872040 is about 27620.1383052294. The cubic root of 762872040 is about 913.7286293341.

The spelling of 762872040 in words is "seven hundred sixty-two million, eight hundred seventy-two thousand, forty".