766753408 has 64 divisors (see below), whose sum is σ = 1562533920. Its totient is φ = 374676480.

The previous prime is 766753399. The next prime is 766753409. The reversal of 766753408 is 804357667.

766753408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×766753408² = 1175821577359228928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (766753409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2209491 + ... + 2209837.

Almost surely, 2^766753408 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 766753408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781266960).

766753408 is an abundant number, since it is smaller than the sum of its proper divisors (795780512).

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

766753408 is a wasteful number, since it uses less digits than its factorization.

766753408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 46.

The square root of 766753408 is about 27690.3125298361. The cubic root of 766753408 is about 915.2756425164.

It can be divided in two parts, 7667 and 53408, that added together give a triangular number (61075 = T₃₄₉).

The spelling of 766753408 in words is "seven hundred sixty-six million, seven hundred fifty-three thousand, four hundred eight".