763149420 has 216 divisors, whose sum is σ = 2615990832. Its totient is φ = 179815680.

The previous prime is 763149391. The next prime is 763149449. The reversal of 763149420 is 24941367.

It is an interprime number because it is at equal distance from previous prime (763149391) and next prime (763149449).

It is a super-3 number, since 3×763149420³ (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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 805387 + ... + 806333.

Almost surely, 2^763149420 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 763149420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307995416).

763149420 is an abundant number, since it is smaller than the sum of its proper divisors (1852841412).

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

763149420 is a wasteful number, since it uses less digits than its factorization.

763149420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 763149420 is about 27625.1591850617. The cubic root of 763149420 is about 913.8393597152.

The spelling of 763149420 in words is "seven hundred sixty-three million, one hundred forty-nine thousand, four hundred twenty".