748070400 has 720 divisors, whose sum is σ = 3239292672. Its totient is φ = 148684800.

The previous prime is 748070387. The next prime is 748070419. The reversal of 748070400 is 4070847.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32524789 + ... + 32524811.

Almost surely, 2^748070400 is an apocalyptic number.

748070400 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 748070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619646336).

748070400 is an abundant number, since it is smaller than the sum of its proper divisors (2491222272).

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

748070400 is a wasteful number, since it uses less digits than its factorization.

748070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 748070400 is about 27350.8756715393. The cubic root of 748070400 is about 907.7804459232.

The spelling of 748070400 in words is "seven hundred forty-eight million, seventy thousand, four hundred".