764749440 has 384 divisors, whose sum is σ = 3252412800. Its totient is φ = 161243136.

The previous prime is 764749429. The next prime is 764749451. The reversal of 764749440 is 44947467.

It is an interprime number because it is at equal distance from previous prime (764749429) and next prime (764749451).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 523431 + ... + 524889.

It is an arithmetic number, because the mean of its divisors is an integer number (8469825).

Almost surely, 2^764749440 is an apocalyptic number.

764749440 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 764749440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626206400).

764749440 is an abundant number, since it is smaller than the sum of its proper divisors (2487663360).

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

764749440 is a wasteful number, since it uses less digits than its factorization.

764749440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 764749440 is about 27654.1034929719. The cubic root of 764749440 is about 914.4775661382.

The spelling of 764749440 in words is "seven hundred sixty-four million, seven hundred forty-nine thousand, four hundred forty".