785377152 has 288 divisors, whose sum is σ = 2751874320. Its totient is φ = 210567168.

The previous prime is 785377147. The next prime is 785377171. The reversal of 785377152 is 251773587.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×785377152² = 1233634541767262208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 785377098 and 785377107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2330328 + ... + 2330664.

Almost surely, 2^785377152 is an apocalyptic number.

785377152 is a gapful number since it is divisible by the number (72) 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 785377152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375937160).

785377152 is an abundant number, since it is smaller than the sum of its proper divisors (1966497168).

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

785377152 is a wasteful number, since it uses less digits than its factorization.

785377152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 366 counting only the distinct ones).

The product of its digits is 411600, while the sum is 45.

The square root of 785377152 is about 28024.5812100734. The cubic root of 785377152 is about 922.6268466374.

The spelling of 785377152 in words is "seven hundred eighty-five million, three hundred seventy-seven thousand, one hundred fifty-two".