7764503040 has 480 divisors, whose sum is σ = 31743968256. Its totient is φ = 1716387840.

The previous prime is 7764503029. The next prime is 7764503051. The reversal of 7764503040 is 403054677.

7764503040 is a `hidden beast` number, since 7 + 7 + 645 + 0 + 3 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7764503029) and next prime (7764503051).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 7764502986 and 7764503004.

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, 4998904 + ... + 5000456.

Almost surely, 2^7764503040 is an apocalyptic number.

7764503040 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 7764503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15871984128).

7764503040 is an abundant number, since it is smaller than the sum of its proper divisors (23979465216).

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

7764503040 is a wasteful number, since it uses less digits than its factorization.

7764503040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 7764503040 is about 88116.4175395255. The cubic root of 7764503040 is about 1980.1794756197.

The spelling of 7764503040 in words is "seven billion, seven hundred sixty-four million, five hundred three thousand, forty".