1030377920 has 336 divisors, whose sum is σ = 3064703040. Its totient is φ = 327106560.

The previous prime is 1030377919. The next prime is 1030377979. The reversal of 1030377920 is 297730301.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 11577236 + ... + 11577324.

It is an arithmetic number, because the mean of its divisors is an integer number (9121140).

Almost surely, 2^1030377920 is an apocalyptic number.

1030377920 is a gapful number since it is divisible by the number (10) 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 1030377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532351520).

1030377920 is an abundant number, since it is smaller than the sum of its proper divisors (2034325120).

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

1030377920 is a wasteful number, since it uses less digits than its factorization.

1030377920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 32.

The square root of 1030377920 is about 32099.5003076372. The cubic root of 1030377920 is about 1010.0251341652.

The spelling of 1030377920 in words is "one billion, thirty million, three hundred seventy-seven thousand, nine hundred twenty".