785480976 has 480 divisors, whose sum is σ = 2888704000. Its totient is φ = 205752960.

The previous prime is 785480953. The next prime is 785480977. The reversal of 785480976 is 679084587.

785480976 is a `hidden beast` number, since 7 + 8 + 548 + 0 + 97 + 6 = 666.

785480976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (785480977) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25338081 + ... + 25338111.

Almost surely, 2^785480976 is an apocalyptic number.

785480976 is a gapful number since it is divisible by the number (76) 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 785480976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444352000).

785480976 is an abundant number, since it is smaller than the sum of its proper divisors (2103223024).

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

785480976 is a wasteful number, since it uses less digits than its factorization.

785480976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 785480976 is about 28026.4335226586. The cubic root of 785480976 is about 922.6675008160.

The spelling of 785480976 in words is "seven hundred eighty-five million, four hundred eighty thousand, nine hundred seventy-six".