770434560 has 480 divisors, whose sum is σ = 3240274752. Its totient is φ = 165150720.

The previous prime is 770434549. The next prime is 770434571. The reversal of 770434560 is 65434077.

770434560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (770434549) and next prime (770434571).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×770434560² = 1187138822484787200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2741620 + ... + 2741900.

Almost surely, 2^770434560 is an apocalyptic number.

770434560 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 770434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620137376).

770434560 is an abundant number, since it is smaller than the sum of its proper divisors (2469840192).

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

770434560 is a wasteful number, since it uses less digits than its factorization.

770434560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 770434560 is about 27756.7029742367. The cubic root of 770434560 is about 916.7380384465.

The spelling of 770434560 in words is "seven hundred seventy million, four hundred thirty-four thousand, five hundred sixty".