770531040 has 288 divisors, whose sum is σ = 2787063552. Its totient is φ = 193536000.

The previous prime is 770531039. The next prime is 770531053. The reversal of 770531040 is 40135077.

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

It is a junction number, because it is equal to n+sod(n) for n = 770530995 and 770531013.

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, 1830030 + ... + 1830450.

It is an arithmetic number, because the mean of its divisors is an integer number (9677304).

Almost surely, 2^770531040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 770531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393531776).

770531040 is an abundant number, since it is smaller than the sum of its proper divisors (2016532512).

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

770531040 is a wasteful number, since it uses less digits than its factorization.

770531040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 770531040 is about 27758.4408784067. The cubic root of 770531040 is about 916.7763039479.

The spelling of 770531040 in words is "seven hundred seventy million, five hundred thirty-one thousand, forty".