763137540 has 144 divisors (see below), whose sum is σ = 2606962176. Its totient is φ = 179020800.

The previous prime is 763137533. The next prime is 763137553. The reversal of 763137540 is 45731367.

It is a super-3 number, since 3×763137540³ (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 junction number, because it is equal to n+sod(n) for n = 763137495 and 763137504.

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, 55164 + ... + 67596.

It is an arithmetic number, because the mean of its divisors is an integer number (18103904).

Almost surely, 2^763137540 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 763137540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303481088).

763137540 is an abundant number, since it is smaller than the sum of its proper divisors (1843824636).

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

763137540 is a wasteful number, since it uses less digits than its factorization.

763137540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12490 (or 12485 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 763137540 is about 27624.9441628395. The cubic root of 763137540 is about 913.8346177570.

The spelling of 763137540 in words is "seven hundred sixty-three million, one hundred thirty-seven thousand, five hundred forty".