748077120 has 840 divisors, whose sum is σ = 3363528960. Its totient is φ = 156764160.

The previous prime is 748077097. The next prime is 748077217. The reversal of 748077120 is 21770847.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 24131505 + ... + 24131535.

Almost surely, 2^748077120 is an apocalyptic number.

748077120 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 748077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681764480).

748077120 is an abundant number, since it is smaller than the sum of its proper divisors (2615451840).

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

748077120 is a wasteful number, since it uses less digits than its factorization.

748077120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 748077120 is about 27350.9985192497. The cubic root of 748077120 is about 907.7831641461.

The spelling of 748077120 in words is "seven hundred forty-eight million, seventy-seven thousand, one hundred twenty".