764406720 has 560 divisors, whose sum is σ = 3398934528. Its totient is φ = 158423040.

The previous prime is 764406701. The next prime is 764406733. The reversal of 764406720 is 27604467.

764406720 is a `hidden beast` number, since 7 + 644 + 0 + 6 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-3 number, since 3×764406720³ (a number of 28 digits) contains 333 as substring.

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

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1995649 + ... + 1996031.

Almost surely, 2^764406720 is an apocalyptic number.

764406720 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 764406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699467264).

764406720 is an abundant number, since it is smaller than the sum of its proper divisors (2634527808).

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

764406720 is a wasteful number, since it uses less digits than its factorization.

764406720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 764406720 is about 27647.9062498411. The cubic root of 764406720 is about 914.3409390006.

The spelling of 764406720 in words is "seven hundred sixty-four million, four hundred six thousand, seven hundred twenty".