764478000 has 720 divisors, whose sum is σ = 3277686048. Its totient is φ = 171072000.

The previous prime is 764477993. The next prime is 764478031. The reversal of 764478000 is 874467.

It is a happy number.

764478000 is a `hidden beast` number, since 7 + 644 + 7 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×764478000² = 1168853224968000000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 58805994 + ... + 58806006.

Almost surely, 2^764478000 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 764478000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638843024).

764478000 is an abundant number, since it is smaller than the sum of its proper divisors (2513208048).

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

764478000 is a wasteful number, since it uses less digits than its factorization.

764478000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 764478000 is about 27649.1952866625. The cubic root of 764478000 is about 914.3693585119.

The spelling of 764478000 in words is "seven hundred sixty-four million, four hundred seventy-eight thousand".